89672546304 has 432 divisors, whose sum is σ = 294085471680. Its totient is φ = 26276659200.

The previous prime is 89672546291. The next prime is 89672546333. The reversal of 89672546304 is 40364527698.

89672546304 is a `hidden beast` number, since 8 + 9 + 67 + 2 + 546 + 30 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69137784 + ... + 69139080.

Almost surely, 2^89672546304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89672546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147042735840).

89672546304 is an abundant number, since it is smaller than the sum of its proper divisors (204412925376).

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

89672546304 is a wasteful number, since it uses less digits than its factorization.

89672546304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 89672546304 in words is "eighty-nine billion, six hundred seventy-two million, five hundred forty-six thousand, three hundred four".