36318925440 has 768 divisors, whose sum is σ = 151227648000. Its totient is φ = 8020131840.

The previous prime is 36318925427. The next prime is 36318925441. The reversal of 36318925440 is 4452981363.

36318925440 is a `hidden beast` number, since 3 + 6 + 3 + 18 + 92 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36318925441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61245784 + ... + 61246376.

It is an arithmetic number, because the mean of its divisors is an integer number (196911000).

Almost surely, 2^36318925440 is an apocalyptic number.

36318925440 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 36318925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75613824000).

36318925440 is an abundant number, since it is smaller than the sum of its proper divisors (114908722560).

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

36318925440 is a wasteful number, since it uses less digits than its factorization.

36318925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36318925440 in words is "thirty-six billion, three hundred eighteen million, nine hundred twenty-five thousand, four hundred forty".