7438720464 has 240 divisors, whose sum is σ = 25433336448. Its totient is φ = 1981145088.

The previous prime is 7438720451. The next prime is 7438720477. The reversal of 7438720464 is 4640278347.

7438720464 is a `hidden beast` number, since 7 + 4 + 387 + 204 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (7438720451) and next prime (7438720477).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831524 + ... + 1835580.

Almost surely, 2^7438720464 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 7438720464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716668224).

7438720464 is an abundant number, since it is smaller than the sum of its proper divisors (17994615984).

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

7438720464 is a wasteful number, since it uses less digits than its factorization.

7438720464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7438720464 is about 86248.0171598165. The cubic root of 7438720464 is about 1952.0880953814.

The spelling of 7438720464 in words is "seven billion, four hundred thirty-eight million, seven hundred twenty thousand, four hundred sixty-four".