36750351456 has 768 divisors, whose sum is σ = 141187737600. Its totient is φ = 9029615616.

The previous prime is 36750351389. The next prime is 36750351481. The reversal of 36750351456 is 65415305763.

36750351456 is a `hidden beast` number, since 36 + 7 + 50 + 3 + 514 + 56 = 666.

36750351456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109051320 + ... + 109051656.

It is an arithmetic number, because the mean of its divisors is an integer number (183838200).

Almost surely, 2^36750351456 is an apocalyptic number.

36750351456 is a gapful number since it is divisible by the number (36) 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 36750351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70593868800).

36750351456 is an abundant number, since it is smaller than the sum of its proper divisors (104437386144).

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

36750351456 is a wasteful number, since it uses less digits than its factorization.

36750351456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 36750351456 in words is "thirty-six billion, seven hundred fifty million, three hundred fifty-one thousand, four hundred fifty-six".