64056098400 has 576 divisors, whose sum is σ = 254358720000. Its totient is φ = 13675806720.

The previous prime is 64056098377. The next prime is 64056098471. The reversal of 64056098400 is 489065046.

64056098400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23300226 + ... + 23302974.

It is an arithmetic number, because the mean of its divisors is an integer number (441595000).

Almost surely, 2^64056098400 is an apocalyptic number.

64056098400 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 64056098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179360000).

64056098400 is an abundant number, since it is smaller than the sum of its proper divisors (190302621600).

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

64056098400 is a wasteful number, since it uses less digits than its factorization.

64056098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 64056098400 in words is "sixty-four billion, fifty-six million, ninety-eight thousand, four hundred".