15976632672 has 1152 divisors, whose sum is σ = 66407040000. Its totient is φ = 3698472960.

The previous prime is 15976632631. The next prime is 15976632677. The reversal of 15976632672 is 27623667951.

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 (15976632677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550918354 + ... + 550918382.

It is an arithmetic number, because the mean of its divisors is an integer number (57645000).

Almost surely, 2^15976632672 is an apocalyptic number.

15976632672 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 15976632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520000).

15976632672 is an abundant number, since it is smaller than the sum of its proper divisors (50430407328).

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

15976632672 is a wasteful number, since it uses less digits than its factorization.

15976632672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 15976632672 in words is "fifteen billion, nine hundred seventy-six million, six hundred thirty-two thousand, six hundred seventy-two".