36675959040 has 648 divisors, whose sum is σ = 151145362368. Its totient is φ = 8182702080.

The previous prime is 36675959011. The next prime is 36675959059. The reversal of 36675959040 is 4095957663.

36675959040 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 5 + 9 + 590 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24271885 + ... + 24273395.

It is an arithmetic number, because the mean of its divisors is an integer number (233249016).

Almost surely, 2^36675959040 is an apocalyptic number.

36675959040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36675959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75572681184).

36675959040 is an abundant number, since it is smaller than the sum of its proper divisors (114469403328).

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

36675959040 is a wasteful number, since it uses less digits than its factorization.

36675959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 36675959040 in words is "thirty-six billion, six hundred seventy-five million, nine hundred fifty-nine thousand, forty".