7939920144 has 120 divisors (see below), whose sum is σ = 22347444672. Its totient is φ = 2428008960.

The previous prime is 7939920143. The next prime is 7939920181. The reversal of 7939920144 is 4410299397.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7939920093 and 7939920102.

It is not an unprimeable number, because it can be changed into a prime (7939920143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351774 + ... + 1357634.

Almost surely, 2^7939920144 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 7939920144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173722336).

7939920144 is an abundant number, since it is smaller than the sum of its proper divisors (14407524528).

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

7939920144 is a wasteful number, since it uses less digits than its factorization.

7939920144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 7939920144 is about 89106.2295465362. The cubic root of 7939920144 is about 1994.9807594830.

The spelling of 7939920144 in words is "seven billion, nine hundred thirty-nine million, nine hundred twenty thousand, one hundred forty-four".