7561545600 has 384 divisors, whose sum is σ = 30142713600. Its totient is φ = 1626439680.

The previous prime is 7561545569. The next prime is 7561545659. The reversal of 7561545600 is 65451657.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×7561545600⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139091 + ... + 1145709.

It is an arithmetic number, because the mean of its divisors is an integer number (78496650).

Almost surely, 2^7561545600 is an apocalyptic number.

7561545600 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 7561545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071356800).

7561545600 is an abundant number, since it is smaller than the sum of its proper divisors (22581168000).

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

7561545600 is a wasteful number, since it uses less digits than its factorization.

7561545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 7561545600 is about 86957.1480673096. The cubic root of 7561545600 is about 1962.7735272663.

The spelling of 7561545600 in words is "seven billion, five hundred sixty-one million, five hundred forty-five thousand, six hundred".