36945674313600 has 768 divisors, whose sum is σ = 142398185932800. Its totient is φ = 8337729945600.

The previous prime is 36945674313599. The next prime is 36945674313617. The reversal of 36945674313600 is 631347654963.

It is a super-2 number, since 2×36945674313600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73255894 + ... + 73758506.

It is an arithmetic number, because the mean of its divisors is an integer number (185414304600).

Almost surely, 2^{36945674313600} is an apocalyptic number.

36945674313600 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 36945674313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71199092966400).

36945674313600 is an abundant number, since it is smaller than the sum of its proper divisors (105452511619200).

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

36945674313600 is a wasteful number, since it uses less digits than its factorization.

36945674313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502703 (or 502686 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 57.

The spelling of 36945674313600 in words is "thirty-six trillion, nine hundred forty-five billion, six hundred seventy-four million, three hundred thirteen thousand, six hundred".