7663316640 has 384 divisors, whose sum is σ = 29346250752. Its totient is φ = 1642967040.

The previous prime is 7663316629. The next prime is 7663316641. The reversal of 7663316640 is 466133667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7663316592 and 7663316601.

It is not an unprimeable number, because it can be changed into a prime (7663316641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4094905 + ... + 4096775.

It is an arithmetic number, because the mean of its divisors is an integer number (76422528).

Almost surely, 2^7663316640 is an apocalyptic number.

7663316640 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 7663316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673125376).

7663316640 is an abundant number, since it is smaller than the sum of its proper divisors (21682934112).

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

7663316640 is a wasteful number, since it uses less digits than its factorization.

7663316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 7663316640 is about 87540.3714865319. The cubic root of 7663316640 is about 1971.5399881820.

The spelling of 7663316640 in words is "seven billion, six hundred sixty-three million, three hundred sixteen thousand, six hundred forty".