96606432000 has 1440 divisors, whose sum is σ = 401875778304. Its totient is φ = 22892544000.

The previous prime is 96606431989. The next prime is 96606432023. The reversal of 96606432000 is 23460669.

96606432000 is a `hidden beast` number, since 9 + 6 + 6 + 0 + 643 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1583711970 + ... + 1583712030.

Almost surely, 2^96606432000 is an apocalyptic number.

96606432000 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 96606432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200937889152).

96606432000 is an abundant number, since it is smaller than the sum of its proper divisors (305269346304).

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

96606432000 is a wasteful number, since it uses less digits than its factorization.

96606432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 96606432000 its reverse (23460669), we get a palindrome (96629892669).

The spelling of 96606432000 in words is "ninety-six billion, six hundred six million, four hundred thirty-two thousand".