7388141640 has 256 divisors, whose sum is σ = 25585459200. Its totient is φ = 1687910400.

The previous prime is 7388141597. The next prime is 7388141689. The reversal of 7388141640 is 461418837.

It is a junction number, because it is equal to n+sod(n) for n = 7388141592 and 7388141601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5592180 + ... + 5593500.

It is an arithmetic number, because the mean of its divisors is an integer number (99943200).

Almost surely, 2^7388141640 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 7388141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792729600).

7388141640 is an abundant number, since it is smaller than the sum of its proper divisors (18197317560).

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

7388141640 is a wasteful number, since it uses less digits than its factorization.

7388141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 7388141640 is about 85954.2997179315. The cubic root of 7388141640 is about 1947.6536881541.

The spelling of 7388141640 in words is "seven billion, three hundred eighty-eight million, one hundred forty-one thousand, six hundred forty".