75070822680 has 640 divisors, whose sum is σ = 295734067200. Its totient is φ = 16726735872.

The previous prime is 75070822663. The next prime is 75070822751. The reversal of 75070822680 is 8622807057.

75070822680 is a `hidden beast` number, since 7 + 507 + 0 + 82 + 2 + 68 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192983926 + ... + 192984314.

It is an arithmetic number, because the mean of its divisors is an integer number (462084480).

Almost surely, 2^75070822680 is an apocalyptic number.

75070822680 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 75070822680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147867033600).

75070822680 is an abundant number, since it is smaller than the sum of its proper divisors (220663244520).

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

75070822680 is a wasteful number, since it uses less digits than its factorization.

75070822680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75070822680 in words is "seventy-five billion, seventy million, eight hundred twenty-two thousand, six hundred eighty".