82626097680 has 800 divisors, whose sum is σ = 336660952320. Its totient is φ = 18393661440.

The previous prime is 82626097663. The next prime is 82626097703. The reversal of 82626097680 is 8679062628.

82626097680 is a `hidden beast` number, since 8 + 2 + 626 + 0 + 9 + 7 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 391592775 + ... + 391592985.

Almost surely, 2^82626097680 is an apocalyptic number.

82626097680 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 82626097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168330476160).

82626097680 is an abundant number, since it is smaller than the sum of its proper divisors (254034854640).

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

82626097680 is a wasteful number, since it uses less digits than its factorization.

82626097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 82626097680 in words is "eighty-two billion, six hundred twenty-six million, ninety-seven thousand, six hundred eighty".