7213774464 has 480 divisors, whose sum is σ = 24392728800. Its totient is φ = 2111256576.

The previous prime is 7213774459. The next prime is 7213774481. The reversal of 7213774464 is 4644773127.

7213774464 is a `hidden beast` number, since 72 + 137 + 7 + 446 + 4 = 666.

It is a congruent number.

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, 40300327 + ... + 40300505.

It is an arithmetic number, because the mean of its divisors is an integer number (50818185).

Almost surely, 2^7213774464 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 7213774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196364400).

7213774464 is an abundant number, since it is smaller than the sum of its proper divisors (17178954336).

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

7213774464 is a wasteful number, since it uses less digits than its factorization.

7213774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 220 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 7213774464 is about 84933.9417665282. The cubic root of 7213774464 is about 1932.2093828084.

The spelling of 7213774464 in words is "seven billion, two hundred thirteen million, seven hundred seventy-four thousand, four hundred sixty-four".