616164433920 has 1120 divisors, whose sum is σ = 2587385801088. Its totient is φ = 137339338752.

The previous prime is 616164433831. The next prime is 616164433999. The reversal of 616164433920 is 29334461616.

616164433920 is a `hidden beast` number, since 6 + 1 + 616 + 4 + 4 + 3 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 998645452 + ... + 998646068.

Almost surely, 2^616164433920 is an apocalyptic number.

616164433920 is a gapful number since it is divisible by the number (60) 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 616164433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293692900544).

616164433920 is an abundant number, since it is smaller than the sum of its proper divisors (1971221367168).

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

616164433920 is an equidigital number, since it uses as much as digits as its factorization.

616164433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 616164433920 in words is "six hundred sixteen billion, one hundred sixty-four million, four hundred thirty-three thousand, nine hundred twenty".