7607638080 has 1008 divisors, whose sum is σ = 32957024256. Its totient is φ = 1602478080.

The previous prime is 7607638037. The next prime is 7607638081. The reversal of 7607638080 is 808367067.

7607638080 is a `hidden beast` number, since 7 + 6 + 0 + 7 + 638 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7607638081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161864617 + ... + 161864663.

Almost surely, 2^7607638080 is an apocalyptic number.

7607638080 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 7607638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478512128).

7607638080 is an abundant number, since it is smaller than the sum of its proper divisors (25349386176).

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

7607638080 is a wasteful number, since it uses less digits than its factorization.

7607638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7607638080 is about 87221.7752628322. The cubic root of 7607638080 is about 1966.7535732287.

The spelling of 7607638080 in words is "seven billion, six hundred seven million, six hundred thirty-eight thousand, eighty".