94432705920 has 1152 divisors, whose sum is σ = 402265543680. Its totient is φ = 20321280000.

The previous prime is 94432705909. The next prime is 94432705921. The reversal of 94432705920 is 2950723449.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94432705921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 376225795 + ... + 376226045.

It is an arithmetic number, because the mean of its divisors is an integer number (349188840).

Almost surely, 2^94432705920 is an apocalyptic number.

94432705920 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 94432705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201132771840).

94432705920 is an abundant number, since it is smaller than the sum of its proper divisors (307832837760).

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

94432705920 is a wasteful number, since it uses less digits than its factorization.

94432705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 94432705920 in words is "ninety-four billion, four hundred thirty-two million, seven hundred five thousand, nine hundred twenty".