64042677600 has 288 divisors, whose sum is σ = 229082587776. Its totient is φ = 15411302400.

The previous prime is 64042677599. The next prime is 64042677613. The reversal of 64042677600 is 677624046.

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, 3607947 + ... + 3625653.

It is an arithmetic number, because the mean of its divisors is an integer number (795425652).

Almost surely, 2^64042677600 is an apocalyptic number.

64042677600 is a gapful number since it is divisible by the number (60) 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 64042677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114541293888).

64042677600 is an abundant number, since it is smaller than the sum of its proper divisors (165039910176).

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

64042677600 is a wasteful number, since it uses less digits than its factorization.

64042677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17878 (or 17865 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 64042677600 in words is "sixty-four billion, forty-two million, six hundred seventy-seven thousand, six hundred".