7389264960 has 896 divisors, whose sum is σ = 33708441600. Its totient is φ = 1478615040.

The previous prime is 7389264959. The next prime is 7389264983. The reversal of 7389264960 is 694629837.

It is a happy number.

7389264960 is a `hidden beast` number, since 73 + 89 + 2 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7389264897 and 7389264906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19292929 + ... + 19293311.

Almost surely, 2^7389264960 is an apocalyptic number.

7389264960 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 7389264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854220800).

7389264960 is an abundant number, since it is smaller than the sum of its proper divisors (26319176640).

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

7389264960 is a wasteful number, since it uses less digits than its factorization.

7389264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7389264960 is about 85960.8338721769. The cubic root of 7389264960 is about 1947.7523926085.

The spelling of 7389264960 in words is "seven billion, three hundred eighty-nine million, two hundred sixty-four thousand, nine hundred sixty".