64742400072 has 96 divisors (see below), whose sum is σ = 201292116480. Its totient is φ = 18414846720.

The previous prime is 64742400071. The next prime is 64742400091. The reversal of 64742400072 is 27000424746.

It is a happy number.

64742400072 is a `hidden beast` number, since 647 + 4 + 2 + 4 + 0 + 0 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64742400071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175629 + ... + 400412.

It is an arithmetic number, because the mean of its divisors is an integer number (2096792880).

Almost surely, 2^64742400072 is an apocalyptic number.

It is an amenable number.

64742400072 is an abundant number, since it is smaller than the sum of its proper divisors (136549716408).

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

64742400072 is a wasteful number, since it uses less digits than its factorization.

64742400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576283 (or 576276 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 64742400072 in words is "sixty-four billion, seven hundred forty-two million, four hundred thousand, seventy-two".