616145886720 has 960 divisors, whose sum is σ = 2764728046080. Its totient is φ = 123149942784.

The previous prime is 616145886691. The next prime is 616145886743. The reversal of 616145886720 is 27688541616.

616145886720 is a `hidden beast` number, since 6 + 161 + 458 + 8 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39828427 + ... + 39843893.

It is an arithmetic number, because the mean of its divisors is an integer number (2879925048).

Almost surely, 2^616145886720 is an apocalyptic number.

616145886720 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 616145886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382364023040).

616145886720 is an abundant number, since it is smaller than the sum of its proper divisors (2148582159360).

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

616145886720 is a wasteful number, since it uses less digits than its factorization.

616145886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15535 (or 15516 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 616145886720 in words is "six hundred sixteen billion, one hundred forty-five million, eight hundred eighty-six thousand, seven hundred twenty".