616434011531520 has 1728 divisors, whose sum is σ = 2612635650035712. Its totient is φ = 120391380172800.

The previous prime is 616434011531453. The next prime is 616434011531537. The reversal of 616434011531520 is 25135110434616.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7723632415 + ... + 7723712225.

It is an arithmetic number, because the mean of its divisors is an integer number (1511941927104).

Almost surely, 2^{616434011531520} is an apocalyptic number.

616434011531520 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 616434011531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306317825017856).

616434011531520 is an abundant number, since it is smaller than the sum of its proper divisors (1996201638504192).

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

616434011531520 is a wasteful number, since it uses less digits than its factorization.

616434011531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79940 (or 79895 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 616434011531520 in words is "six hundred sixteen trillion, four hundred thirty-four billion, eleven million, five hundred thirty-one thousand, five hundred twenty".