7633087488 has 220 divisors, whose sum is σ = 24550735440. Its totient is φ = 2348310528.

The previous prime is 7633087481. The next prime is 7633087523. The reversal of 7633087488 is 8847803367.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7633087481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1074733 + ... + 1081811.

It is an arithmetic number, because the mean of its divisors is an integer number (111594252).

Almost surely, 2^7633087488 is an apocalyptic number.

7633087488 is a gapful number since it is divisible by the number (78) 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 7633087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275367720).

7633087488 is an abundant number, since it is smaller than the sum of its proper divisors (16917647952).

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

7633087488 is a wasteful number, since it uses less digits than its factorization.

7633087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7633087488 is about 87367.5425315374. The cubic root of 7633087488 is about 1968.9442226891.

The spelling of 7633087488 in words is "seven billion, six hundred thirty-three million, eighty-seven thousand, four hundred eighty-eight".