96429657445632 has 1296 divisors, whose sum is σ = 344317277985408. Its totient is φ = 25824700661760.

The previous prime is 96429657445613. The next prime is 96429657445663. The reversal of 96429657445632 is 23654475692469.

96429657445632 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 9 + 6 + 57 + 4 + 4 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30897037032 + ... + 30897040152.

Almost surely, 2^{96429657445632} is an apocalyptic number.

96429657445632 is a gapful number since it is divisible by the number (92) 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 96429657445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172158638992704).

96429657445632 is an abundant number, since it is smaller than the sum of its proper divisors (247887620539776).

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

96429657445632 is a wasteful number, since it uses less digits than its factorization.

96429657445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3392 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 72.

The spelling of 96429657445632 in words is "ninety-six trillion, four hundred twenty-nine billion, six hundred fifty-seven million, four hundred forty-five thousand, six hundred thirty-two".