36548464740480 has 3840 divisors, whose sum is σ = 172784654824320. Its totient is φ = 7273857024000.

The previous prime is 36548464740413. The next prime is 36548464740493. The reversal of 36548464740480 is 8404746484563.

36548464740480 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 84 + 6 + 4 + 74 + 0 + 480 = 666.

It is a super-2 number, since 2×36548464740480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 69882341499 + ... + 69882342021.

Almost surely, 2^{36548464740480} is an apocalyptic number.

36548464740480 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 36548464740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86392327412160).

36548464740480 is an abundant number, since it is smaller than the sum of its proper divisors (136236190083840).

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

36548464740480 is a wasteful number, since it uses less digits than its factorization.

36548464740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 63.

The spelling of 36548464740480 in words is "thirty-six trillion, five hundred forty-eight billion, four hundred sixty-four million, seven hundred forty thousand, four hundred eighty".