820957495680 has 384 divisors, whose sum is σ = 3380716984320. Its totient is φ = 179488641024.

The previous prime is 820957495597. The next prime is 820957495697. The reversal of 820957495680 is 86594759028.

820957495680 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 574 + 9 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 484729 + ... + 1369991.

It is an arithmetic number, because the mean of its divisors is an integer number (8803950480).

Almost surely, 2^820957495680 is an apocalyptic number.

820957495680 is a gapful number since it is divisible by the number (80) 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 820957495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690358492160).

820957495680 is an abundant number, since it is smaller than the sum of its proper divisors (2559759488640).

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

820957495680 is a wasteful number, since it uses less digits than its factorization.

820957495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885318 (or 885303 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 820957495680 in words is "eight hundred twenty billion, nine hundred fifty-seven million, four hundred ninety-five thousand, six hundred eighty".