763938040320 has 1920 divisors, whose sum is σ = 3477537423360. Its totient is φ = 150493593600.

The previous prime is 763938040309. The next prime is 763938040351. The reversal of 763938040320 is 23040839367.

763938040320 is a `hidden beast` number, since 7 + 63 + 93 + 80 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5059192245 + ... + 5059192395.

It is an arithmetic number, because the mean of its divisors is an integer number (1811217408).

Almost surely, 2^763938040320 is an apocalyptic number.

763938040320 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 763938040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738768711680).

763938040320 is an abundant number, since it is smaller than the sum of its proper divisors (2713599383040).

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

763938040320 is a wasteful number, since it uses less digits than its factorization.

763938040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

Adding to 763938040320 its reverse (23040839367), we get a palindrome (786978879687).

The spelling of 763938040320 in words is "seven hundred sixty-three billion, nine hundred thirty-eight million, forty thousand, three hundred twenty".