683751951963648 has 800 divisors, whose sum is σ = 2211120736403040. Its totient is φ = 209626109706240.

The previous prime is 683751951963631. The next prime is 683751951963763. The reversal of 683751951963648 is 846369159157386.

683751951963648 is a `hidden beast` number, since 6 + 8 + 3 + 7 + 51 + 9 + 519 + 6 + 3 + 6 + 48 = 666.

It is a super-2 number, since 2×683751951963648² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13440344740 + ... + 13440395612.

Almost surely, 2^{683751951963648} 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 683751951963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105560368201520).

683751951963648 is an abundant number, since it is smaller than the sum of its proper divisors (1527368784439392).

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

683751951963648 is a wasteful number, since it uses less digits than its factorization.

683751951963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51420 (or 51395 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 683751951963648 in words is "six hundred eighty-three trillion, seven hundred fifty-one billion, nine hundred fifty-one million, nine hundred sixty-three thousand, six hundred forty-eight".