7438864608 has 384 divisors, whose sum is σ = 26388633600. Its totient is φ = 1992646656.

The previous prime is 7438864603. The next prime is 7438864619. The reversal of 7438864608 is 8064688347.

7438864608 is a `hidden beast` number, since 74 + 38 + 86 + 460 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438864603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7372008 + ... + 7373016.

It is an arithmetic number, because the mean of its divisors is an integer number (68720400).

Almost surely, 2^7438864608 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 7438864608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194316800).

7438864608 is an abundant number, since it is smaller than the sum of its proper divisors (18949768992).

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

7438864608 is a wasteful number, since it uses less digits than its factorization.

7438864608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 7438864608 is about 86248.8527923705. The cubic root of 7438864608 is about 1952.1007041793.

The spelling of 7438864608 in words is "seven billion, four hundred thirty-eight million, eight hundred sixty-four thousand, six hundred eight".