616693788076800 has 216 divisors, whose sum is σ = 2325963404536576. Its totient is φ = 140958580101120.

The previous prime is 616693788076783. The next prime is 616693788076801. The reversal of 616693788076800 is 8670887396616.

It is a super-2 number, since 2×616693788076800² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is not an unprimeable number, because it can be changed into a prime (616693788076801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294113324 + ... + 2294382123.

Almost surely, 2^{616693788076800} is an apocalyptic number.

616693788076800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616693788076800 is an abundant number, since it is smaller than the sum of its proper divisors (1709269616459776).

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

616693788076800 is a wasteful number, since it uses less digits than its factorization.

616693788076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588495483 (or 4588495464 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 616693788076800 in words is "six hundred sixteen trillion, six hundred ninety-three billion, seven hundred eighty-eight million, seventy-six thousand, eight hundred".