89786672640 has 1280 divisors, whose sum is σ = 386546688000. Its totient is φ = 19564167168.

The previous prime is 89786672621. The next prime is 89786672699. The reversal of 89786672640 is 4627668798.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1136540121 + ... + 1136540199.

It is an arithmetic number, because the mean of its divisors is an integer number (301989600).

Almost surely, 2^89786672640 is an apocalyptic number.

89786672640 is a gapful number since it is divisible by the number (80) 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 89786672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273344000).

89786672640 is an abundant number, since it is smaller than the sum of its proper divisors (296760015360).

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

89786672640 is an frugal number, since it uses more digits than its factorization.

89786672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 89786672640 in words is "eighty-nine billion, seven hundred eighty-six million, six hundred seventy-two thousand, six hundred forty".