7838998440 has 192 divisors, whose sum is σ = 29461138560. Its totient is φ = 1653926400.

The previous prime is 7838998429. The next prime is 7838998441. The reversal of 7838998440 is 448998387.

It is a super-2 number, since 2×7838998440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7838998441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25165 + ... + 127715.

It is an arithmetic number, because the mean of its divisors is an integer number (153443430).

Almost surely, 2^7838998440 is an apocalyptic number.

7838998440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838998440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730569280).

7838998440 is an abundant number, since it is smaller than the sum of its proper divisors (21622140120).

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

7838998440 is a wasteful number, since it uses less digits than its factorization.

7838998440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102592 (or 102581 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The square root of 7838998440 is about 88538.1185704779. The cubic root of 7838998440 is about 1986.4921780949.

The spelling of 7838998440 in words is "seven billion, eight hundred thirty-eight million, nine hundred ninety-eight thousand, four hundred forty".