616776480 has 144 divisors (see below), whose sum is σ = 2215624320. Its totient is φ = 155810304.

The previous prime is 616776467. The next prime is 616776491. The reversal of 616776480 is 84677616.

616776480 is a `hidden beast` number, since 6 + 167 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 16089 + ... + 38631.

It is an arithmetic number, because the mean of its divisors is an integer number (15386280).

Almost surely, 2^616776480 is an apocalyptic number.

616776480 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 616776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107812160).

616776480 is an abundant number, since it is smaller than the sum of its proper divisors (1598847840).

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

616776480 is a wasteful number, since it uses less digits than its factorization.

616776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22583 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 616776480 is about 24834.9850010021. The cubic root of 616776480 is about 851.2215332003.

The spelling of 616776480 in words is "six hundred sixteen million, seven hundred seventy-six thousand, four hundred eighty".