36620572919040 has 1152 divisors, whose sum is σ = 146524510863360. Its totient is φ = 8580457267200.

The previous prime is 36620572919017. The next prime is 36620572919059. The reversal of 36620572919040 is 4091927502663.

36620572919040 is a `hidden beast` number, since 3 + 6 + 6 + 20 + 572 + 9 + 1 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12880959859 + ... + 12880962701.

It is an arithmetic number, because the mean of its divisors is an integer number (127191415680).

Almost surely, 2^{36620572919040} is an apocalyptic number.

36620572919040 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 36620572919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73262255431680).

36620572919040 is an abundant number, since it is smaller than the sum of its proper divisors (109903937944320).

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

36620572919040 is a wasteful number, since it uses less digits than its factorization.

36620572919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 366205729 and 19040, that added together give a square (366224769 = 19137²).

The spelling of 36620572919040 in words is "thirty-six trillion, six hundred twenty billion, five hundred seventy-two million, nine hundred nineteen thousand, forty".