15672084480 has 576 divisors, whose sum is σ = 59527802880. Its totient is φ = 3790209024.

The previous prime is 15672084433. The next prime is 15672084481. The reversal of 15672084480 is 8448027651.

15672084480 is a `hidden beast` number, since 1 + 567 + 2 + 0 + 8 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×15672084480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15672084481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123402177 + ... + 123402303.

It is an arithmetic number, because the mean of its divisors is an integer number (103346880).

Almost surely, 2^15672084480 is an apocalyptic number.

15672084480 is a gapful number since it is divisible by the number (10) 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 15672084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763901440).

15672084480 is an abundant number, since it is smaller than the sum of its proper divisors (43855718400).

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

15672084480 is a wasteful number, since it uses less digits than its factorization.

15672084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 15672084480 in words is "fifteen billion, six hundred seventy-two million, eighty-four thousand, four hundred eighty".