3644626920480 has 960 divisors, whose sum is σ = 15897691611648. Its totient is φ = 765725736960.

The previous prime is 3644626920439. The next prime is 3644626920533. The reversal of 3644626920480 is 840296264463.

3644626920480 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 626 + 9 + 2 + 0 + 4 + 8 + 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 159 ways as a sum of consecutive naturals, for example, 284219349 + ... + 284232171.

Almost surely, 2^{3644626920480} is an apocalyptic number.

3644626920480 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 3644626920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948845805824).

3644626920480 is an abundant number, since it is smaller than the sum of its proper divisors (12253064691168).

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

3644626920480 is a wasteful number, since it uses less digits than its factorization.

3644626920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111 (or 13094 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3644626920480 in words is "three trillion, six hundred forty-four billion, six hundred twenty-six million, nine hundred twenty thousand, four hundred eighty".