36953360640 has 432 divisors, whose sum is σ = 149531910528. Its totient is φ = 8249278464.

The previous prime is 36953360629. The next prime is 36953360651. The reversal of 36953360640 is 4606335963.

36953360640 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 33 + 606 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36953360629) and next prime (36953360651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3462192 + ... + 3472848.

Almost surely, 2^36953360640 is an apocalyptic number.

36953360640 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 36953360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74765955264).

36953360640 is an abundant number, since it is smaller than the sum of its proper divisors (112578549888).

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

36953360640 is a wasteful number, since it uses less digits than its factorization.

36953360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 36953360640 in words is "thirty-six billion, nine hundred fifty-three million, three hundred sixty thousand, six hundred forty".