616970367504 has 320 divisors, whose sum is σ = 1838602321920. Its totient is φ = 197949588480.

The previous prime is 616970367487. The next prime is 616970367527. The reversal of 616970367504 is 405763079616.

It is a happy number.

616970367504 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 70 + 3 + 67 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698720247 + ... + 698721129.

It is an arithmetic number, because the mean of its divisors is an integer number (5745632256).

Almost surely, 2^616970367504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616970367504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919301160960).

616970367504 is an abundant number, since it is smaller than the sum of its proper divisors (1221631954416).

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

616970367504 is a wasteful number, since it uses less digits than its factorization.

616970367504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 616970367504 in words is "six hundred sixteen billion, nine hundred seventy million, three hundred sixty-seven thousand, five hundred four".