36120614400 has 720 divisors, whose sum is σ = 141292831680. Its totient is φ = 8758886400.

The previous prime is 36120614399. The next prime is 36120614407. The reversal of 36120614400 is 441602163.

36120614400 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 0 + 614 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36120614407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133286265 + ... + 133286535.

It is an arithmetic number, because the mean of its divisors is an integer number (196240044).

Almost surely, 2^36120614400 is an apocalyptic number.

36120614400 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 36120614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70646415840).

36120614400 is an abundant number, since it is smaller than the sum of its proper divisors (105172217280).

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

36120614400 is a wasteful number, since it uses less digits than its factorization.

36120614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36120614400 in words is "thirty-six billion, one hundred twenty million, six hundred fourteen thousand, four hundred".