89773332264 has 640 divisors, whose sum is σ = 326868664320. Its totient is φ = 22338892800.

The previous prime is 89773332251. The next prime is 89773332269. The reversal of 89773332264 is 46223337798.

89773332264 is a `hidden beast` number, since 89 + 7 + 7 + 333 + 226 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 89773332264.

It is not an unprimeable number, because it can be changed into a prime (89773332269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 196440324 + ... + 196440780.

It is an arithmetic number, because the mean of its divisors is an integer number (510732288).

Almost surely, 2^89773332264 is an apocalyptic number.

89773332264 is a gapful number since it is divisible by the number (84) 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 89773332264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163434332160).

89773332264 is an abundant number, since it is smaller than the sum of its proper divisors (237095332056).

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

89773332264 is a wasteful number, since it uses less digits than its factorization.

89773332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 89773332264 in words is "eighty-nine billion, seven hundred seventy-three million, three hundred thirty-two thousand, two hundred sixty-four".