7903998144 has 280 divisors, whose sum is σ = 26986910720. Its totient is φ = 2240607744.

The previous prime is 7903998143. The next prime is 7903998161. The reversal of 7903998144 is 4418993097.

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 (7903998143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5043249 + ... + 5044815.

It is an arithmetic number, because the mean of its divisors is an integer number (96381824).

Almost surely, 2^7903998144 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 7903998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493455360).

7903998144 is an abundant number, since it is smaller than the sum of its proper divisors (19082912576).

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

7903998144 is a wasteful number, since it uses less digits than its factorization.

7903998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7903998144 is about 88904.4326453974. The cubic root of 7903998144 is about 1991.9676290283.

The spelling of 7903998144 in words is "seven billion, nine hundred three million, nine hundred ninety-eight thousand, one hundred forty-four".