7032640548864 has 832 divisors, whose sum is σ = 23490603253760. Its totient is φ = 1825988935680.

The previous prime is 7032640548863. The next prime is 7032640548881. The reversal of 7032640548864 is 4688450462307.

It is a super-2 number, since 2×7032640548864² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (7032640548863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6434254302 + ... + 6434255394.

Almost surely, 2^{7032640548864} 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 7032640548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745301626880).

7032640548864 is an abundant number, since it is smaller than the sum of its proper divisors (16457962704896).

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

7032640548864 is a wasteful number, since it uses less digits than its factorization.

7032640548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 7032640548864 in words is "seven trillion, thirty-two billion, six hundred forty million, five hundred forty-eight thousand, eight hundred sixty-four".