64764800100 has 1152 divisors, whose sum is σ = 288941506560. Its totient is φ = 12006144000.

The previous prime is 64764800099. The next prime is 64764800119. The reversal of 64764800100 is 100846746.

64764800100 is a `hidden beast` number, since 6 + 4 + 7 + 648 + 0 + 0 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83783314 + ... + 83784086.

It is an arithmetic number, because the mean of its divisors is an integer number (250817280).

Almost surely, 2^64764800100 is an apocalyptic number.

64764800100 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 64764800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144470753280).

64764800100 is an abundant number, since it is smaller than the sum of its proper divisors (224176706460).

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

64764800100 is a wasteful number, since it uses less digits than its factorization.

64764800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 64764800100 in words is "sixty-four billion, seven hundred sixty-four million, eight hundred thousand, one hundred".