2679698499660 has 2304 divisors, whose sum is σ = 11758473216000. Its totient is φ = 493180047360.

The previous prime is 2679698499659. The next prime is 2679698499671. The reversal of 2679698499660 is 669948969762.

2679698499660 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 69 + 8 + 499 + 6 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2679698499660.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8095765695 + ... + 8095766025.

It is an arithmetic number, because the mean of its divisors is an integer number (5103504000).

Almost surely, 2^{2679698499660} is an apocalyptic number.

2679698499660 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 2679698499660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879236608000).

2679698499660 is an abundant number, since it is smaller than the sum of its proper divisors (9078774716340).

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

2679698499660 is a wasteful number, since it uses less digits than its factorization.

2679698499660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 2679698499660 in words is "two trillion, six hundred seventy-nine billion, six hundred ninety-eight million, four hundred ninety-nine thousand, six hundred sixty".