7953763840 has 240 divisors, whose sum is σ = 21571338096. Its totient is φ = 2787737600.

The previous prime is 7953763819. The next prime is 7953763841. The reversal of 7953763840 is 483673597.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95828439 + ... + 95828521.

Almost surely, 2^7953763840 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 7953763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785669048).

7953763840 is an abundant number, since it is smaller than the sum of its proper divisors (13617574256).

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

7953763840 is an equidigital number, since it uses as much as digits as its factorization.

7953763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The square root of 7953763840 is about 89183.8765697029. The cubic root of 7953763840 is about 1996.1395398849.

The spelling of 7953763840 in words is "seven billion, nine hundred fifty-three million, seven hundred sixty-three thousand, eight hundred forty".