2068077699072 has 2016 divisors, whose sum is σ = 8346207945600. Its totient is φ = 502760079360.

The previous prime is 2068077699059. The next prime is 2068077699143. The reversal of 2068077699072 is 2709967708602.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2068077699072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24916598743 + ... + 24916598825.

It is an arithmetic number, because the mean of its divisors is an integer number (4139984100).

Almost surely, 2^{2068077699072} is an apocalyptic number.

2068077699072 is a gapful number since it is divisible by the number (22) 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 2068077699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173103972800).

2068077699072 is an abundant number, since it is smaller than the sum of its proper divisors (6278130246528).

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

2068077699072 is a wasteful number, since it uses less digits than its factorization.

2068077699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 2068077699072 in words is "two trillion, sixty-eight billion, seventy-seven million, six hundred ninety-nine thousand, seventy-two".