2679429096960 has 1280 divisors, whose sum is σ = 10908026984448. Its totient is φ = 544997376000.

The previous prime is 2679429096959. The next prime is 2679429096961. The reversal of 2679429096960 is 696909249762.

2679429096960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2679429096959) and next prime (2679429096961).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679429096961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6749191482 + ... + 6749191878.

Almost surely, 2^{2679429096960} is an apocalyptic number.

2679429096960 is a gapful number since it is divisible by the number (20) 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 2679429096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454013492224).

2679429096960 is an abundant number, since it is smaller than the sum of its proper divisors (8228597887488).

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

2679429096960 is a wasteful number, since it uses less digits than its factorization.

2679429096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 2679429096960 in words is "two trillion, six hundred seventy-nine billion, four hundred twenty-nine million, ninety-six thousand, nine hundred sixty".