96672145680 has 240 divisors, whose sum is σ = 367289866944. Its totient is φ = 23435619840.

The previous prime is 96672145667. The next prime is 96672145681. The reversal of 96672145680 is 8654127669.

96672145680 is a `hidden beast` number, since 9 + 6 + 6 + 72 + 1 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (96672145681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12199 + ... + 439878.

Almost surely, 2^96672145680 is an apocalyptic number.

96672145680 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 96672145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183644933472).

96672145680 is an abundant number, since it is smaller than the sum of its proper divisors (270617721264).

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

96672145680 is a wasteful number, since it uses less digits than its factorization.

96672145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452116 (or 452098 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 96672145680 in words is "ninety-six billion, six hundred seventy-two million, one hundred forty-five thousand, six hundred eighty".