102577342464 has 240 divisors, whose sum is σ = 309307798800. Its totient is φ = 33867030528.

The previous prime is 102577342451. The next prime is 102577342501. The reversal of 102577342464 is 464243775201.

102577342464 is a `hidden beast` number, since 1 + 0 + 2 + 577 + 34 + 2 + 46 + 4 = 666.

It is a super-2 number, since 2×102577342464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17747127 + ... + 17752905.

It is an arithmetic number, because the mean of its divisors is an integer number (1288782495).

Almost surely, 2^102577342464 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 102577342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154653899400).

102577342464 is an abundant number, since it is smaller than the sum of its proper divisors (206730456336).

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

102577342464 is an equidigital number, since it uses as much as digits as its factorization.

102577342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 102577342464 in words is "one hundred two billion, five hundred seventy-seven million, three hundred forty-two thousand, four hundred sixty-four".