7385713920 has 576 divisors, whose sum is σ = 29916311040. Its totient is φ = 1709309952.

The previous prime is 7385713891. The next prime is 7385713921. The reversal of 7385713920 is 293175837.

It is a happy number.

7385713920 is a `hidden beast` number, since 73 + 8 + 571 + 3 + 9 + 2 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7385713921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637277 + ... + 7638243.

It is an arithmetic number, because the mean of its divisors is an integer number (51938040).

Almost surely, 2^7385713920 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 7385713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958155520).

7385713920 is an abundant number, since it is smaller than the sum of its proper divisors (22530597120).

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

7385713920 is a wasteful number, since it uses less digits than its factorization.

7385713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7385713920 is about 85940.1764019600. The cubic root of 7385713920 is about 1947.4403338338.

The spelling of 7385713920 in words is "seven billion, three hundred eighty-five million, seven hundred thirteen thousand, nine hundred twenty".