15952764672 has 720 divisors, whose sum is σ = 55843780608. Its totient is φ = 4488929280.

The previous prime is 15952764671. The next prime is 15952764673. The reversal of 15952764672 is 27646725951.

It is a happy number.

15952764672 is a `hidden beast` number, since 1 + 5 + 9 + 527 + 6 + 46 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (15952764671) and next prime (15952764673).

It is a super-2 number, since 2×15952764672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15952764671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192201943 + ... + 192202025.

Almost surely, 2^15952764672 is an apocalyptic number.

15952764672 is a gapful number since it is divisible by the number (12) 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 15952764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921890304).

15952764672 is an abundant number, since it is smaller than the sum of its proper divisors (39891015936).

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

15952764672 is a wasteful number, since it uses less digits than its factorization.

15952764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 15952764672 in words is "fifteen billion, nine hundred fifty-two million, seven hundred sixty-four thousand, six hundred seventy-two".