2077762479072 has 48 divisors (see below), whose sum is σ = 6233287439232. Its totient is φ = 593646422400.

The previous prime is 2077762479041. The next prime is 2077762479101. The reversal of 2077762479072 is 2709742677702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2077762478997 and 2077762479015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545953554 + ... + 1545954897.

It is an arithmetic number, because the mean of its divisors is an integer number (129860154984).

Almost surely, 2^{2077762479072} is an apocalyptic number.

It is an amenable number.

2077762479072 is an abundant number, since it is smaller than the sum of its proper divisors (4155524960160).

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

2077762479072 is a wasteful number, since it uses less digits than its factorization.

2077762479072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091908471 (or 3091908463 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 60.

The spelling of 2077762479072 in words is "two trillion, seventy-seven billion, seven hundred sixty-two million, four hundred seventy-nine thousand, seventy-two".