763494229680 has 1280 divisors, whose sum is σ = 3104441303040. Its totient is φ = 150958080000.

The previous prime is 763494229679. The next prime is 763494229691. The reversal of 763494229680 is 86922494367.

763494229680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3041809555 + ... + 3041809805.

It is an arithmetic number, because the mean of its divisors is an integer number (2425344768).

Almost surely, 2^763494229680 is an apocalyptic number.

763494229680 is a gapful number since it is divisible by the number (70) 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 763494229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552220651520).

763494229680 is an abundant number, since it is smaller than the sum of its proper divisors (2340947073360).

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

763494229680 is a wasteful number, since it uses less digits than its factorization.

763494229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 763494229680 in words is "seven hundred sixty-three billion, four hundred ninety-four million, two hundred twenty-nine thousand, six hundred eighty".