7560645552 has 240 divisors, whose sum is σ = 23487639552. Its totient is φ = 2259671040.

The previous prime is 7560645529. The next prime is 7560645557. The reversal of 7560645552 is 2555460657.

7560645552 is a `hidden beast` number, since 7 + 56 + 0 + 6 + 45 + 552 = 666.

It is a super-2 number, since 2×7560645552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7560645498 and 7560645507.

It is not an unprimeable number, because it can be changed into a prime (7560645557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083753 + ... + 5085239.

Almost surely, 2^7560645552 is an apocalyptic number.

7560645552 is a gapful number since it is divisible by the number (72) 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 7560645552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743819776).

7560645552 is an abundant number, since it is smaller than the sum of its proper divisors (15926994000).

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

7560645552 is a wasteful number, since it uses less digits than its factorization.

7560645552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 7560645552 is about 86951.9726745748. The cubic root of 7560645552 is about 1962.6956481051.

The spelling of 7560645552 in words is "seven billion, five hundred sixty million, six hundred forty-five thousand, five hundred fifty-two".