89734875648 has 640 divisors, whose sum is σ = 289627176960. Its totient is φ = 24385536000.

The previous prime is 89734875589. The next prime is 89734875661. The reversal of 89734875648 is 84657843798.

Its product of digits (325140480) is a multiple of the sum of its prime factors (280).

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, 706573761 + ... + 706573887.

It is an arithmetic number, because the mean of its divisors is an integer number (452542464).

Almost surely, 2^89734875648 is an apocalyptic number.

89734875648 is a gapful number since it is divisible by the number (88) 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 89734875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144813588480).

89734875648 is an abundant number, since it is smaller than the sum of its proper divisors (199892301312).

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

89734875648 is a wasteful number, since it uses less digits than its factorization.

89734875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 69.

The spelling of 89734875648 in words is "eighty-nine billion, seven hundred thirty-four million, eight hundred seventy-five thousand, six hundred forty-eight".