64101134592 has 720 divisors, whose sum is σ = 225227084544. Its totient is φ = 17915904000.

The previous prime is 64101134519. The next prime is 64101134687. The reversal of 64101134592 is 29543110146.

It is a happy number.

64101134592 is a `hidden beast` number, since 6 + 410 + 113 + 45 + 92 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236535417 + ... + 236535687.

Almost surely, 2^64101134592 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 64101134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613542272).

64101134592 is an abundant number, since it is smaller than the sum of its proper divisors (161125949952).

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

64101134592 is a wasteful number, since it uses less digits than its factorization.

64101134592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 64101134592 in words is "sixty-four billion, one hundred one million, one hundred thirty-four thousand, five hundred ninety-two".