7953776640 has 544 divisors, whose sum is σ = 30198758400. Its totient is φ = 1981808640.

The previous prime is 7953776639. The next prime is 7953776647. The reversal of 7953776640 is 466773597.

7953776640 is a `hidden beast` number, since 7 + 9 + 537 + 7 + 66 + 40 = 666.

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 (7953776647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256573425 + ... + 256573455.

Almost surely, 2^7953776640 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 7953776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099379200).

7953776640 is an abundant number, since it is smaller than the sum of its proper divisors (22244981760).

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

7953776640 is an equidigital number, since it uses as much as digits as its factorization.

7953776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 7953776640 is about 89183.9483315243. The cubic root of 7953776640 is about 1996.1406106808.

The spelling of 7953776640 in words is "seven billion, nine hundred fifty-three million, seven hundred seventy-six thousand, six hundred forty".