76564243640220 has 768 divisors, whose sum is σ = 264945875927040. Its totient is φ = 16124313600000.

The previous prime is 76564243640197. The next prime is 76564243640303. The reversal of 76564243640220 is 2204634246567.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59031798612 + ... + 59031799908.

It is an arithmetic number, because the mean of its divisors is an integer number (344981609280).

Almost surely, 2^{76564243640220} is an apocalyptic number.

76564243640220 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 76564243640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132472937963520).

76564243640220 is an abundant number, since it is smaller than the sum of its proper divisors (188381632286820).

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

76564243640220 is a wasteful number, since it uses less digits than its factorization.

76564243640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 51.

Adding to 76564243640220 its reverse (2204634246567), we get a palindrome (78768877886787).

The spelling of 76564243640220 in words is "seventy-six trillion, five hundred sixty-four billion, two hundred forty-three million, six hundred forty thousand, two hundred twenty".