36652728744 has 160 divisors (see below), whose sum is σ = 103733784000. Its totient is φ = 12090601728.

The previous prime is 36652728733. The next prime is 36652728779. The reversal of 36652728744 is 44782725663.

36652728744 is a `hidden beast` number, since 36 + 6 + 527 + 2 + 87 + 4 + 4 = 666.

It is a super-4 number, since 4×36652728744⁴ (a number of 43 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45305812 + ... + 45306620.

It is an arithmetic number, because the mean of its divisors is an integer number (648336150).

Almost surely, 2^36652728744 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 36652728744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866892000).

36652728744 is an abundant number, since it is smaller than the sum of its proper divisors (67081055256).

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

36652728744 is a wasteful number, since it uses less digits than its factorization.

36652728744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

It can be divided in two parts, 3665 and 2728744, that added together give a square (2732409 = 1653²).

The spelling of 36652728744 in words is "thirty-six billion, six hundred fifty-two million, seven hundred twenty-eight thousand, seven hundred forty-four".