36587064528 has 640 divisors, whose sum is σ = 131648716800. Its totient is φ = 9500198400.

The previous prime is 36587064517. The next prime is 36587064529. The reversal of 36587064528 is 82546078563.

36587064528 is a `hidden beast` number, since 3 + 6 + 58 + 7 + 0 + 64 + 528 = 666.

It is a super-2 number, since 2×36587064528² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36587064529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153083833 + ... + 153084071.

It is an arithmetic number, because the mean of its divisors is an integer number (205701120).

Almost surely, 2^36587064528 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 36587064528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65824358400).

36587064528 is an abundant number, since it is smaller than the sum of its proper divisors (95061652272).

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

36587064528 is a wasteful number, since it uses less digits than its factorization.

36587064528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 36587064528 in words is "thirty-six billion, five hundred eighty-seven million, sixty-four thousand, five hundred twenty-eight".