7864432560 has 480 divisors, whose sum is σ = 29613729600. Its totient is φ = 1932263424.

The previous prime is 7864432559. The next prime is 7864432561. The reversal of 7864432560 is 652344687.

7864432560 is a `hidden beast` number, since 7 + 86 + 4 + 4 + 3 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7864432559) and next prime (7864432561).

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

It is not an unprimeable number, because it can be changed into a prime (7864432561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17515216 + ... + 17515664.

It is an arithmetic number, because the mean of its divisors is an integer number (61695270).

Almost surely, 2^7864432560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806864800).

7864432560 is an abundant number, since it is smaller than the sum of its proper divisors (21749297040).

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

7864432560 is a wasteful number, since it uses less digits than its factorization.

7864432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7864432560 is about 88681.6359794969. The cubic root of 7864432560 is about 1988.6382913436.

The spelling of 7864432560 in words is "seven billion, eight hundred sixty-four million, four hundred thirty-two thousand, five hundred sixty".