996807655620 has 576 divisors, whose sum is σ = 3738776832000. Its totient is φ = 219579558912.

The previous prime is 996807655607. The next prime is 996807655621. The reversal of 996807655620 is 26556708699.

996807655620 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 0 + 7 + 65 + 562 + 0 = 666.

It is a super-4 number, since 4×996807655620⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (996807655621) 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 191 ways as a sum of consecutive naturals, for example, 636124077 + ... + 636125643.

It is an arithmetic number, because the mean of its divisors is an integer number (6490932000).

Almost surely, 2^996807655620 is an apocalyptic number.

996807655620 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 996807655620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869388416000).

996807655620 is an abundant number, since it is smaller than the sum of its proper divisors (2741969176380).

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

996807655620 is a wasteful number, since it uses less digits than its factorization.

996807655620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 996807655620 in words is "nine hundred ninety-six billion, eight hundred seven million, six hundred fifty-five thousand, six hundred twenty".