15672442464 has 288 divisors, whose sum is σ = 53473754880. Its totient is φ = 4422615552.

The previous prime is 15672442463. The next prime is 15672442523. The reversal of 15672442464 is 46424427651.

It is a happy number.

15672442464 is a `hidden beast` number, since 1 + 567 + 2 + 4 + 4 + 24 + 64 = 666.

15672442464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1290240) is a multiple of the sum of its prime factors (3584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15672442463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4516122 + ... + 4519590.

It is an arithmetic number, because the mean of its divisors is an integer number (185672760).

Almost surely, 2^15672442464 is an apocalyptic number.

15672442464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15672442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26736877440).

15672442464 is an abundant number, since it is smaller than the sum of its proper divisors (37801312416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15672442464 is an equidigital number, since it uses as much as digits as its factorization.

15672442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 15672442464 in words is "fifteen billion, six hundred seventy-two million, four hundred forty-two thousand, four hundred sixty-four".