7561428480 has 480 divisors, whose sum is σ = 28802442240. Its totient is φ = 1824768000.

The previous prime is 7561428437. The next prime is 7561428517. The reversal of 7561428480 is 848241657.

7561428480 is a `hidden beast` number, since 7 + 5 + 614 + 28 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7561428480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10068105 + ... + 10068855.

It is an arithmetic number, because the mean of its divisors is an integer number (60005088).

Almost surely, 2^7561428480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7561428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401221120).

7561428480 is an abundant number, since it is smaller than the sum of its proper divisors (21241013760).

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

7561428480 is a wasteful number, since it uses less digits than its factorization.

7561428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7561428480 is about 86956.4746295525. The cubic root of 7561428480 is about 1962.7633934817.

The spelling of 7561428480 in words is "seven billion, five hundred sixty-one million, four hundred twenty-eight thousand, four hundred eighty".