96432629760 has 768 divisors, whose sum is σ = 360601113600. Its totient is φ = 24418713600.

The previous prime is 96432629749. The next prime is 96432629791. The reversal of 96432629760 is 6792623469.

96432629760 is a `hidden beast` number, since 9 + 6 + 4 + 3 + 2 + 629 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96432629697 and 96432629706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532776870 + ... + 532777050.

It is an arithmetic number, because the mean of its divisors is an integer number (469532700).

Almost surely, 2^96432629760 is an apocalyptic number.

96432629760 is a gapful number since it is divisible by the number (90) 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 96432629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300556800).

96432629760 is an abundant number, since it is smaller than the sum of its proper divisors (264168483840).

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

96432629760 is a wasteful number, since it uses less digits than its factorization.

96432629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 96432629760 in words is "ninety-six billion, four hundred thirty-two million, six hundred twenty-nine thousand, seven hundred sixty".