8742064032 has 72 divisors (see below), whose sum is σ = 26772582564. Its totient is φ = 2689864704.

The previous prime is 8742063991. The next prime is 8742064039. The reversal of 8742064032 is 2304602478.

8742064032 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 0 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8433850896 + 308213136 = 91836^2 + 17556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (8742064039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163733 + ... + 1171220.

Almost surely, 2^8742064032 is an apocalyptic number.

It is an amenable number.

8742064032 is an abundant number, since it is smaller than the sum of its proper divisors (18030518532).

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

8742064032 is a wasteful number, since it uses less digits than its factorization.

8742064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334982 (or 2334971 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 8742064032 is about 93499.0055134278. The cubic root of 8742064032 is about 2060.0194826448.

The spelling of 8742064032 in words is "eight billion, seven hundred forty-two million, sixty-four thousand, thirty-two".