7131601920 has 176 divisors, whose sum is σ = 23040835488. Its totient is φ = 1882521600.

The previous prime is 7131601913. The next prime is 7131601933. The reversal of 7131601920 is 291061317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549062 + ... + 1553658.

It is an arithmetic number, because the mean of its divisors is an integer number (130913838).

Almost surely, 2^7131601920 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 7131601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520417744).

7131601920 is an abundant number, since it is smaller than the sum of its proper divisors (15909233568).

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

7131601920 is a wasteful number, since it uses less digits than its factorization.

7131601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 7131601920 is about 84448.8124250424. The cubic root of 7131601920 is about 1924.8447095734.

The spelling of 7131601920 in words is "seven billion, one hundred thirty-one million, six hundred one thousand, nine hundred twenty".