7638371840 has 120 divisors (see below), whose sum is σ = 20131289640. Its totient is φ = 2777477120.

The previous prime is 7638371833. The next prime is 7638371861. The reversal of 7638371840 is 481738367.

It is a super-2 number, since 2×7638371840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297431 + ... + 322089.

It is an arithmetic number, because the mean of its divisors is an integer number (167760747).

Almost surely, 2^7638371840 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 7638371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065644820).

7638371840 is an abundant number, since it is smaller than the sum of its proper divisors (12492917800).

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

7638371840 is a wasteful number, since it uses less digits than its factorization.

7638371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24704 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 7638371840 is about 87397.7793768240. The cubic root of 7638371840 is about 1969.3984816096.

The spelling of 7638371840 in words is "seven billion, six hundred thirty-eight million, three hundred seventy-one thousand, eight hundred forty".