7904148120 has 384 divisors, whose sum is σ = 29390100480. Its totient is φ = 1826668800.

The previous prime is 7904148023. The next prime is 7904148173. The reversal of 7904148120 is 218414097.

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, 117972327 + ... + 117972393.

It is an arithmetic number, because the mean of its divisors is an integer number (76536720).

Almost surely, 2^7904148120 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 7904148120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695050240).

7904148120 is an abundant number, since it is smaller than the sum of its proper divisors (21485952360).

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

7904148120 is a wasteful number, since it uses less digits than its factorization.

7904148120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7904148120 is about 88905.2761089014. The cubic root of 7904148120 is about 1991.9802279452.

The spelling of 7904148120 in words is "seven billion, nine hundred four million, one hundred forty-eight thousand, one hundred twenty".