7948005120 has 864 divisors, whose sum is σ = 32784321024. Its totient is φ = 1824768000.

The previous prime is 7948005119. The next prime is 7948005151. The reversal of 7948005120 is 215008497.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78693070 + ... + 78693170.

It is an arithmetic number, because the mean of its divisors is an integer number (37944816).

Almost surely, 2^7948005120 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 7948005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392160512).

7948005120 is an abundant number, since it is smaller than the sum of its proper divisors (24836315904).

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

7948005120 is a wasteful number, since it uses less digits than its factorization.

7948005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7948005120 is about 89151.5850672325. The cubic root of 7948005120 is about 1995.6576722514.

The spelling of 7948005120 in words is "seven billion, nine hundred forty-eight million, five thousand, one hundred twenty".