616180561920 has 1152 divisors, whose sum is σ = 2749399511040. Its totient is φ = 123863040000.

The previous prime is 616180561877. The next prime is 616180561979. The reversal of 616180561920 is 29165081616.

616180561920 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 8 + 0 + 5 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 219984520 + ... + 219987320.

It is an arithmetic number, because the mean of its divisors is an integer number (2386631520).

Almost surely, 2^616180561920 is an apocalyptic number.

616180561920 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 616180561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374699755520).

616180561920 is an abundant number, since it is smaller than the sum of its proper divisors (2133218949120).

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

616180561920 is a wasteful number, since it uses less digits than its factorization.

616180561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 616180561920 in words is "six hundred sixteen billion, one hundred eighty million, five hundred sixty-one thousand, nine hundred twenty".