8625732480 has 384 divisors, whose sum is σ = 31577364000. Its totient is φ = 2163621888.

The previous prime is 8625732443. The next prime is 8625732497. The reversal of 8625732480 is 842375268.

8625732480 is a `hidden beast` number, since 86 + 25 + 73 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29439214 + ... + 29439506.

Almost surely, 2^8625732480 is an apocalyptic number.

8625732480 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 8625732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788682000).

8625732480 is an abundant number, since it is smaller than the sum of its proper divisors (22951631520).

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

8625732480 is a wasteful number, since it uses less digits than its factorization.

8625732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8625732480 is about 92874.8215610668. The cubic root of 8625732480 is about 2050.8410176042.

The spelling of 8625732480 in words is "eight billion, six hundred twenty-five million, seven hundred thirty-two thousand, four hundred eighty".