82651976640 has 448 divisors, whose sum is σ = 306799488000. Its totient is φ = 20916080640.

The previous prime is 82651976639. The next prime is 82651976653. The reversal of 82651976640 is 4667915628.

82651976640 is a `hidden beast` number, since 8 + 26 + 519 + 7 + 66 + 40 = 666.

It is a super-3 number, since 3×82651976640³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14780245 + ... + 14785835.

Almost surely, 2^82651976640 is an apocalyptic number.

82651976640 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 82651976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153399744000).

82651976640 is an abundant number, since it is smaller than the sum of its proper divisors (224147511360).

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

82651976640 is a wasteful number, since it uses less digits than its factorization.

82651976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 82651976640 in words is "eighty-two billion, six hundred fifty-one million, nine hundred seventy-six thousand, six hundred forty".