7085648640 has 576 divisors, whose sum is σ = 27531012096. Its totient is φ = 1518206976.

The previous prime is 7085648573. The next prime is 7085648657. The reversal of 7085648640 is 468465807.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7085648640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45131442 + ... + 45131598.

It is an arithmetic number, because the mean of its divisors is an integer number (47796896).

Almost surely, 2^7085648640 is an apocalyptic number.

7085648640 is a gapful number since it is divisible by the number (70) 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 7085648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765506048).

7085648640 is an abundant number, since it is smaller than the sum of its proper divisors (20445363456).

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

7085648640 is a wasteful number, since it uses less digits than its factorization.

7085648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 7085648640 is about 84176.2950004335. The cubic root of 7085648640 is about 1920.7014797914.

The spelling of 7085648640 in words is "seven billion, eighty-five million, six hundred forty-eight thousand, six hundred forty".