2693761736680 has 128 divisors (see below), whose sum is σ = 7070432256000. Its totient is φ = 923281099776.

The previous prime is 2693761736593. The next prime is 2693761736717. The reversal of 2693761736680 is 866371673962.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45424729 + ... + 45483991.

It is an arithmetic number, because the mean of its divisors is an integer number (55237752000).

Almost surely, 2^{2693761736680} is an apocalyptic number.

2693761736680 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 2693761736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535216128000).

2693761736680 is an abundant number, since it is smaller than the sum of its proper divisors (4376670519320).

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

2693761736680 is a wasteful number, since it uses less digits than its factorization.

2693761736680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62608 (or 62590 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 2693761736680 in words is "two trillion, six hundred ninety-three billion, seven hundred sixty-one million, seven hundred thirty-six thousand, six hundred eighty".