36798825974400 has 2304 divisors, whose sum is σ = 161045021030400. Its totient is φ = 7820093030400.

The previous prime is 36798825974363. The next prime is 36798825974543. The reversal of 36798825974400 is 447952889763.

36798825974400 is a `hidden beast` number, since 3 + 6 + 7 + 98 + 8 + 2 + 5 + 97 + 440 + 0 = 666.

It is a super-2 number, since 2×36798825974400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50203036434 + ... + 50203037166.

It is an arithmetic number, because the mean of its divisors is an integer number (69898012600).

Almost surely, 2^{36798825974400} is an apocalyptic number.

36798825974400 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 36798825974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80522510515200).

36798825974400 is an abundant number, since it is smaller than the sum of its proper divisors (124246195056000).

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

36798825974400 is a wasteful number, since it uses less digits than its factorization.

36798825974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 36798825974400 in words is "thirty-six trillion, seven hundred ninety-eight billion, eight hundred twenty-five million, nine hundred seventy-four thousand, four hundred".