7564350850560 has 1920 divisors, whose sum is σ = 32129961836544. Its totient is φ = 1608131543040.

The previous prime is 7564350850559. The next prime is 7564350850571. The reversal of 7564350850560 is 650580534657.

It is a happy number.

7564350850560 is a `hidden beast` number, since 75 + 6 + 4 + 3 + 5 + 0 + 8 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7564350850497 and 7564350850506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19053780282 + ... + 19053780678.

Almost surely, 2^{7564350850560} is an apocalyptic number.

7564350850560 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 7564350850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064980918272).

7564350850560 is an abundant number, since it is smaller than the sum of its proper divisors (24565610985984).

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

7564350850560 is a wasteful number, since it uses less digits than its factorization.

7564350850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 7564350850560 in words is "seven trillion, five hundred sixty-four billion, three hundred fifty million, eight hundred fifty thousand, five hundred sixty".