7691397120 has 576 divisors, whose sum is σ = 30264736320. Its totient is φ = 1857945600.

The previous prime is 7691397101. The next prime is 7691397137. The reversal of 7691397120 is 217931967.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371380 + ... + 27371660.

It is an arithmetic number, because the mean of its divisors is an integer number (52542945).

Almost surely, 2^7691397120 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 7691397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132368160).

7691397120 is an abundant number, since it is smaller than the sum of its proper divisors (22573339200).

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

7691397120 is a wasteful number, since it uses less digits than its factorization.

7691397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 7691397120 is about 87700.6107162316. The cubic root of 7691397120 is about 1973.9451394109.

The spelling of 7691397120 in words is "seven billion, six hundred ninety-one million, three hundred ninety-seven thousand, one hundred twenty".