7714465920 has 480 divisors, whose sum is σ = 32058221580. Its totient is φ = 1762725888.

The previous prime is 7714465907. The next prime is 7714465973. The reversal of 7714465920 is 295644177.

7714465920 is a `hidden beast` number, since 7 + 7 + 14 + 46 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7602444864 + 112021056 = 87192^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 2538642 + ... + 2541678.

Almost surely, 2^7714465920 is an apocalyptic number.

7714465920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7714465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029110790).

7714465920 is an abundant number, since it is smaller than the sum of its proper divisors (24343755660).

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

7714465920 is a wasteful number, since it uses less digits than its factorization.

7714465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7714465920 is about 87832.0324255337. The cubic root of 7714465920 is about 1975.9166535898.

The spelling of 7714465920 in words is "seven billion, seven hundred fourteen million, four hundred sixty-five thousand, nine hundred twenty".