36722367350400 has 192 divisors, whose sum is σ = 120961814198400. Its totient is φ = 9792022732800.

The previous prime is 36722367350393. The next prime is 36722367350423. The reversal of 36722367350400 is 405376322763.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36722367350400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166536220 + ... + 166756580.

It is an arithmetic number, because the mean of its divisors is an integer number (630009448950).

Almost surely, 2^{36722367350400} is an apocalyptic number.

36722367350400 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 36722367350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480907099200).

36722367350400 is an abundant number, since it is smaller than the sum of its proper divisors (84239446848000).

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

36722367350400 is a wasteful number, since it uses less digits than its factorization.

36722367350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237747 (or 237730 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 48.

The spelling of 36722367350400 in words is "thirty-six trillion, seven hundred twenty-two billion, three hundred sixty-seven million, three hundred fifty thousand, four hundred".