769632048432 has 240 divisors, whose sum is σ = 2395729330176. Its totient is φ = 229044672000.

The previous prime is 769632048421. The next prime is 769632048443. The reversal of 769632048432 is 234840236967.

769632048432 is a `hidden beast` number, since 76 + 9 + 63 + 2 + 0 + 484 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (769632048421) and next prime (769632048443).

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 47 ways as a sum of consecutive naturals, for example, 196784557 + ... + 196788467.

Almost surely, 2^769632048432 is an apocalyptic number.

769632048432 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 769632048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197864665088).

769632048432 is an abundant number, since it is smaller than the sum of its proper divisors (1626097281744).

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

769632048432 is a wasteful number, since it uses less digits than its factorization.

769632048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 769632048432 in words is "seven hundred sixty-nine billion, six hundred thirty-two million, forty-eight thousand, four hundred thirty-two".