82626396840 has 512 divisors, whose sum is σ = 307883520000. Its totient is φ = 19573125120.

The previous prime is 82626396829. The next prime is 82626396869. The reversal of 82626396840 is 4869362628.

82626396840 is a `hidden beast` number, since 8 + 2 + 626 + 3 + 9 + 6 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×82626396840² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 99669546 + ... + 99670374.

It is an arithmetic number, because the mean of its divisors is an integer number (601335000).

Almost surely, 2^82626396840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82626396840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941760000).

82626396840 is an abundant number, since it is smaller than the sum of its proper divisors (225257123160).

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

82626396840 is a wasteful number, since it uses less digits than its factorization.

82626396840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 82626396840 in words is "eighty-two billion, six hundred twenty-six million, three hundred ninety-six thousand, eight hundred forty".