7903488000 has 384 divisors, whose sum is σ = 27045083520. Its totient is φ = 2048000000.

The previous prime is 7903487981. The next prime is 7903488011. The reversal of 7903488000 is 8843097.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7903488000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7903488000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31487875 + ... + 31488125.

It is an arithmetic number, because the mean of its divisors is an integer number (70429905).

Almost surely, 2^7903488000 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 7903488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522541760).

7903488000 is an abundant number, since it is smaller than the sum of its proper divisors (19141595520).

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

7903488000 is a wasteful number, since it uses less digits than its factorization.

7903488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7903488000 is about 88901.5635408062. The cubic root of 7903488000 is about 1991.9247725659.

The spelling of 7903488000 in words is "seven billion, nine hundred three million, four hundred eighty-eight thousand".