36928460800 has 1152 divisors, whose sum is σ = 131616576000. Its totient is φ = 9909043200.

The previous prime is 36928460797. The next prime is 36928460827. The reversal of 36928460800 is 806482963.

It is a happy number.

It is a super-2 number, since 2×36928460800² (a number of 22 digits) contains 22 as substring.

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, 1273395186 + ... + 1273395214.

It is an arithmetic number, because the mean of its divisors is an integer number (114250500).

Almost surely, 2^36928460800 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 36928460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288000).

36928460800 is an abundant number, since it is smaller than the sum of its proper divisors (94688115200).

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

36928460800 is a wasteful number, since it uses less digits than its factorization.

36928460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 36928460800 in words is "thirty-six billion, nine hundred twenty-eight million, four hundred sixty thousand, eight hundred".