763299241992 has 384 divisors, whose sum is σ = 2498670720000. Its totient is φ = 213783204096.

The previous prime is 763299241961. The next prime is 763299242039. The reversal of 763299241992 is 299142992367.

It is a super-2 number, since 2×763299241992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336402234 + ... + 336404502.

It is an arithmetic number, because the mean of its divisors is an integer number (6506955000).

Almost surely, 2^763299241992 is an apocalyptic number.

763299241992 is a gapful number since it is divisible by the number (72) 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 763299241992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249335360000).

763299241992 is an abundant number, since it is smaller than the sum of its proper divisors (1735371478008).

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

763299241992 is a wasteful number, since it uses less digits than its factorization.

763299241992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2759 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 763299241992 in words is "seven hundred sixty-three billion, two hundred ninety-nine million, two hundred forty-one thousand, nine hundred ninety-two".