616346640 has 480 divisors, whose sum is σ = 2664829440. Its totient is φ = 124084224.

The previous prime is 616346639. The next prime is 616346659. The reversal of 616346640 is 46643616.

616346640 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 4 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 616346595 and 616346604.

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, 1506756 + ... + 1507164.

It is an arithmetic number, because the mean of its divisors is an integer number (5551728).

Almost surely, 2^616346640 is an apocalyptic number.

616346640 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 616346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332414720).

616346640 is an abundant number, since it is smaller than the sum of its proper divisors (2048482800).

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

616346640 is a wasteful number, since it uses less digits than its factorization.

616346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 616346640 is about 24826.3295716463. The cubic root of 616346640 is about 851.0237445868.

The spelling of 616346640 in words is "six hundred sixteen million, three hundred forty-six thousand, six hundred forty".