7633699920 has 480 divisors, whose sum is σ = 33649274880. Its totient is φ = 1502530560.

The previous prime is 7633699919. The next prime is 7633699921. The reversal of 7633699920 is 299963367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7633699919) and next prime (7633699921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7633699921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049737 + ... + 1056983.

It is an arithmetic number, because the mean of its divisors is an integer number (70102656).

Almost surely, 2^7633699920 is an apocalyptic number.

7633699920 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 7633699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16824637440).

7633699920 is an abundant number, since it is smaller than the sum of its proper divisors (26015574960).

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

7633699920 is a wasteful number, since it uses less digits than its factorization.

7633699920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 7633699920 is about 87371.0473784079. The cubic root of 7633699920 is about 1968.9968799396.

The spelling of 7633699920 in words is "seven billion, six hundred thirty-three million, six hundred ninety-nine thousand, nine hundred twenty".