89472302640 has 720 divisors, whose sum is σ = 371181957120. Its totient is φ = 19203609600.

The previous prime is 89472302593. The next prime is 89472302653. The reversal of 89472302640 is 4620327498.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85130115 + ... + 85131165.

It is an arithmetic number, because the mean of its divisors is an integer number (515530496).

Almost surely, 2^89472302640 is an apocalyptic number.

89472302640 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 89472302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185590978560).

89472302640 is an abundant number, since it is smaller than the sum of its proper divisors (281709654480).

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

89472302640 is a wasteful number, since it uses less digits than its factorization.

89472302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 89472302640 in words is "eighty-nine billion, four hundred seventy-two million, three hundred two thousand, six hundred forty".