763973891136 has 189 divisors, whose sum is σ = 2222684411493. Its totient is φ = 250889034240.

The previous prime is 763973891047. The next prime is 763973891147. The reversal of 763973891136 is 631198379367.

The square root of 763973891136 is 874056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 244882460736 + 519091430400 = 494856^2 + 720480^2 .

It is a super-2 number, since 2×763973891136² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1657209946 + ... + 1657210406.

Almost surely, 2^763973891136 is an apocalyptic number.

763973891136 is the 874056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763973891136

763973891136 is an abundant number, since it is smaller than the sum of its proper divisors (1458710520357).

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

763973891136 is an frugal number, since it uses more digits than its factorization.

763973891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 545 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 763973891136 in words is "seven hundred sixty-three billion, nine hundred seventy-three million, eight hundred ninety-one thousand, one hundred thirty-six".