996781927680 has 3456 divisors, whose sum is σ = 4958972928000. Its totient is φ = 182078668800.

The previous prime is 996781927667. The next prime is 996781927703. The reversal of 996781927680 is 86729187699.

It is a super-2 number, since 2×996781927680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 996781927599 and 996781927608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14039182045 + ... + 14039182115.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888000).

Almost surely, 2^996781927680 is an apocalyptic number.

996781927680 is a gapful number since it is divisible by the number (90) 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 996781927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479486464000).

996781927680 is an abundant number, since it is smaller than the sum of its proper divisors (3962191000320).

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

996781927680 is a wasteful number, since it uses less digits than its factorization.

996781927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 996781927680 in words is "nine hundred ninety-six billion, seven hundred eighty-one million, nine hundred twenty-seven thousand, six hundred eighty".