763278664960 has 288 divisors, whose sum is σ = 2124456026112. Its totient is φ = 257328783360.

The previous prime is 763278664957. The next prime is 763278664991. The reversal of 763278664960 is 69466872367.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 763278664892 and 763278664901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594916479 + ... + 594917761.

It is an arithmetic number, because the mean of its divisors is an integer number (7376583424).

Almost surely, 2^763278664960 is an apocalyptic number.

763278664960 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 763278664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062228013056).

763278664960 is an abundant number, since it is smaller than the sum of its proper divisors (1361177361152).

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

763278664960 is a wasteful number, since it uses less digits than its factorization.

763278664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 64.

The spelling of 763278664960 in words is "seven hundred sixty-three billion, two hundred seventy-eight million, six hundred sixty-four thousand, nine hundred sixty".