763424640 has 192 divisors, whose sum is σ = 2876094000. Its totient is φ = 185057280.

The previous prime is 763424581. The next prime is 763424647. The reversal of 763424640 is 46424367.

763424640 is a `hidden beast` number, since 7 + 6 + 3 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 763424595 and 763424604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763424647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57336 + ... + 69384.

Almost surely, 2^763424640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438047000).

763424640 is an abundant number, since it is smaller than the sum of its proper divisors (2112669360).

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

763424640 is a wasteful number, since it uses less digits than its factorization.

763424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 763424640 is about 27630.1400647916. The cubic root of 763424640 is about 913.9492013067.

The spelling of 763424640 in words is "seven hundred sixty-three million, four hundred twenty-four thousand, six hundred forty".