6072401466 has 64 divisors (see below), whose sum is σ = 13973731200. Its totient is φ = 1952350848.

The previous prime is 6072401453. The next prime is 6072401471. The reversal of 6072401466 is 6641042706.

6072401466 is a `hidden beast` number, since 607 + 2 + 4 + 0 + 1 + 46 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6072401466.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2994745 + ... + 2996771.

It is an arithmetic number, because the mean of its divisors is an integer number (218339550).

Almost surely, 2^6072401466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072401466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986865600).

6072401466 is an abundant number, since it is smaller than the sum of its proper divisors (7901329734).

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

6072401466 is a wasteful number, since it uses less digits than its factorization.

6072401466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6072401466 is about 77925.6149542626. The cubic root of 6072401466 is about 1824.4004001094.

The spelling of 6072401466 in words is "six billion, seventy-two million, four hundred one thousand, four hundred sixty-six".