36724620723840 has 2048 divisors, whose sum is σ = 157095139737600. Its totient is φ = 7932266496000.

The previous prime is 36724620723779. The next prime is 36724620723851. The reversal of 36724620723840 is 4832702642763.

36724620723840 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 4 + 620 + 7 + 2 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31906707265 + ... + 31906708415.

It is an arithmetic number, because the mean of its divisors is an integer number (76706611200).

Almost surely, 2^{36724620723840} is an apocalyptic number.

36724620723840 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 36724620723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78547569868800).

36724620723840 is an abundant number, since it is smaller than the sum of its proper divisors (120370519013760).

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

36724620723840 is a wasteful number, since it uses less digits than its factorization.

36724620723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 36724620723840 in words is "thirty-six trillion, seven hundred twenty-four billion, six hundred twenty million, seven hundred twenty-three thousand, eight hundred forty".