7460740224 has 320 divisors, whose sum is σ = 26871989760. Its totient is φ = 2005917696.

The previous prime is 7460740201. The next prime is 7460740277. The reversal of 7460740224 is 4220470647.

It is a happy number.

7460740224 is a `hidden beast` number, since 7 + 4 + 607 + 40 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1230769 + ... + 1236815.

It is an arithmetic number, because the mean of its divisors is an integer number (83974968).

Almost surely, 2^7460740224 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 7460740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435994880).

7460740224 is an abundant number, since it is smaller than the sum of its proper divisors (19411249536).

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

7460740224 is a wasteful number, since it uses less digits than its factorization.

7460740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7460740224 is about 86375.5765480034. The cubic root of 7460740224 is about 1954.0123585476.

The spelling of 7460740224 in words is "seven billion, four hundred sixty million, seven hundred forty thousand, two hundred twenty-four".