7077166316220 has 1728 divisors, whose sum is σ = 28269477218304. Its totient is φ = 1286917632000.

The previous prime is 7077166316179. The next prime is 7077166316293. The reversal of 7077166316220 is 226136617707.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7077166316220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45077492382 + ... + 45077492538.

It is an arithmetic number, because the mean of its divisors is an integer number (16359651168).

Almost surely, 2^{7077166316220} is an apocalyptic number.

7077166316220 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 7077166316220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134738609152).

7077166316220 is an abundant number, since it is smaller than the sum of its proper divisors (21192310902084).

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

7077166316220 is a wasteful number, since it uses less digits than its factorization.

7077166316220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 7077166316220 in words is "seven trillion, seventy-seven billion, one hundred sixty-six million, three hundred sixteen thousand, two hundred twenty".