617897972736 has 396 divisors, whose sum is σ = 1977003997696. Its totient is φ = 185724887040.

The previous prime is 617897972729. The next prime is 617897972749. The reversal of 617897972736 is 637279798716.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×617897972736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 141620091 + ... + 141624453.

Almost surely, 2^617897972736 is an apocalyptic number.

617897972736 is a gapful number since it is divisible by the number (66) 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 617897972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988501998848).

617897972736 is an abundant number, since it is smaller than the sum of its proper divisors (1359106024960).

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

617897972736 is a wasteful number, since it uses less digits than its factorization.

617897972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4506 counting only the distinct ones).

The product of its digits is 336063168, while the sum is 72.

The spelling of 617897972736 in words is "six hundred seventeen billion, eight hundred ninety-seven million, nine hundred seventy-two thousand, seven hundred thirty-six".