616767480 has 256 divisors, whose sum is σ = 2488320000. Its totient is φ = 132655104.

The previous prime is 616767449. The next prime is 616767527. The reversal of 616767480 is 84767616.

616767480 is a `hidden beast` number, since 6 + 167 + 6 + 7 + 480 = 666.

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, 126121 + ... + 130919.

It is an arithmetic number, because the mean of its divisors is an integer number (9720000).

Almost surely, 2^616767480 is an apocalyptic number.

616767480 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 616767480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160000).

616767480 is an abundant number, since it is smaller than the sum of its proper divisors (1871552520).

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

616767480 is a wasteful number, since it uses less digits than its factorization.

616767480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4833 counting only the distinct ones).

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

The square root of 616767480 is about 24834.8038043388. The cubic root of 616767480 is about 851.2173928398.

The spelling of 616767480 in words is "six hundred sixteen million, seven hundred sixty-seven thousand, four hundred eighty".