7795772000640 has 1024 divisors, whose sum is σ = 30817656576000. Its totient is φ = 1849268994048.

The previous prime is 7795772000581. The next prime is 7795772000647. The reversal of 7795772000640 is 460002775977.

7795772000640 is a `hidden beast` number, since 7 + 7 + 9 + 577 + 2 + 0 + 0 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×7795772000640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7795772000647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5387540397 + ... + 5387541843.

It is an arithmetic number, because the mean of its divisors is an integer number (30095367750).

Almost surely, 2^{7795772000640} 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 7795772000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408828288000).

7795772000640 is an abundant number, since it is smaller than the sum of its proper divisors (23021884575360).

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

7795772000640 is a wasteful number, since it uses less digits than its factorization.

7795772000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 7795772000640 in words is "seven trillion, seven hundred ninety-five billion, seven hundred seventy-two million, six hundred forty", and thus it is an aban number.