820680646400496 has 120 divisors (see below), whose sum is σ = 2624882731452384. Its totient is φ = 234479529838080.

The previous prime is 820680646400453. The next prime is 820680646400507. The reversal of 820680646400496 is 694004646086028.

820680646400496 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 80 + 6 + 4 + 64 + 0 + 0 + 496 = 666.

It is a super-2 number, since 2×820680646400496² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447908830 + ... + 449737346.

Almost surely, 2^{820680646400496} is an apocalyptic number.

It is an amenable number.

820680646400496 is an abundant number, since it is smaller than the sum of its proper divisors (1804202085051888).

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

820680646400496 is a wasteful number, since it uses less digits than its factorization.

820680646400496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273799 (or 2273790 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 820680646400496 in words is "eight hundred twenty trillion, six hundred eighty billion, six hundred forty-six million, four hundred thousand, four hundred ninety-six".