7953883938 has 450 divisors, whose sum is σ = 24746994657. Its totient is φ = 1907025120.

The previous prime is 7953883933. The next prime is 7953883957. The reversal of 7953883938 is 8393883597.

7953883938 is a `hidden beast` number, since 7 + 9 + 538 + 8 + 3 + 93 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6800806089 + 1153077849 = 82467^2 + 33957^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63063.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (39191040) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (7953883933) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 611837220 + ... + 611837232.

Almost surely, 2^7953883938 is an apocalyptic number.

7953883938 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7953883938

7953883938 is an abundant number, since it is smaller than the sum of its proper divisors (16793110719).

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

7953883938 is a wasteful number, since it uses less digits than its factorization.

7953883938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 7953883938 is about 89184.5498839345. The cubic root of 7953883938 is about 1996.1495867493.

The spelling of 7953883938 in words is "seven billion, nine hundred fifty-three million, eight hundred eighty-three thousand, nine hundred thirty-eight".