7643162726400 has 312 divisors, whose sum is σ = 25298738326720. Its totient is φ = 2035883704320.

The previous prime is 7643162726399. The next prime is 7643162726443. The reversal of 7643162726400 is 46272613467.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 7643162726400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282303264 + ... + 282330336.

Almost surely, 2^{7643162726400} 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 7643162726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649369163360).

7643162726400 is an abundant number, since it is smaller than the sum of its proper divisors (17655575600320).

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

7643162726400 is a wasteful number, since it uses less digits than its factorization.

7643162726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28029 (or 28002 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 7643162726400 in words is "seven trillion, six hundred forty-three billion, one hundred sixty-two million, seven hundred twenty-six thousand, four hundred".