616017540960 has 384 divisors, whose sum is σ = 2290781606400. Its totient is φ = 154168842240.

The previous prime is 616017540913. The next prime is 616017541001. The reversal of 616017540960 is 69045710616.

616017540960 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 17 + 540 + 96 + 0 = 666.

616017540960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616017540960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747490 + ... + 8817630.

It is an arithmetic number, because the mean of its divisors is an integer number (5965577100).

Almost surely, 2^616017540960 is an apocalyptic number.

616017540960 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 616017540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145390803200).

616017540960 is an abundant number, since it is smaller than the sum of its proper divisors (1674764065440).

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

616017540960 is a wasteful number, since it uses less digits than its factorization.

616017540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70291 (or 70277 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 616017540960 in words is "six hundred sixteen billion, seventeen million, five hundred forty thousand, nine hundred sixty".