7550040960 has 768 divisors, whose sum is σ = 33682521600. Its totient is φ = 1512161280.

The previous prime is 7550040947. The next prime is 7550040977. The reversal of 7550040960 is 690400557.

7550040960 is a `hidden beast` number, since 7 + 550 + 0 + 40 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12861787 + ... + 12862373.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^7550040960 is an apocalyptic number.

7550040960 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 7550040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841260800).

7550040960 is an abundant number, since it is smaller than the sum of its proper divisors (26132480640).

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

7550040960 is a wasteful number, since it uses less digits than its factorization.

7550040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7550040960 is about 86890.9716829085. The cubic root of 7550040960 is about 1961.7775904654. Note that the first 3 decimals are identical.

The spelling of 7550040960 in words is "seven billion, five hundred fifty million, forty thousand, nine hundred sixty".