7468093440 has 312 divisors, whose sum is σ = 26741714688. Its totient is φ = 1925775360.

The previous prime is 7468093439. The next prime is 7468093459. The reversal of 7468093440 is 443908647.

7468093440 is a `hidden beast` number, since 7 + 46 + 80 + 93 + 440 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5713267 + ... + 5714573.

It is an arithmetic number, because the mean of its divisors is an integer number (85710624).

Almost surely, 2^7468093440 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 7468093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370857344).

7468093440 is an abundant number, since it is smaller than the sum of its proper divisors (19273621248).

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

7468093440 is a wasteful number, since it uses less digits than its factorization.

7468093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7468093440 is about 86418.1314308519. The cubic root of 7468093440 is about 1954.6540981378.

The spelling of 7468093440 in words is "seven billion, four hundred sixty-eight million, ninety-three thousand, four hundred forty".