2670635787264 has 297 divisors, whose sum is σ = 8000111419417. Its totient is φ = 858050715648.

The previous prime is 2670635787257. The next prime is 2670635787271. The reversal of 2670635787264 is 4627875360762.

The square root of 2670635787264 is 1634208.

It is a perfect power (a square), and thus also a powerful number.

2670635787264 is a `hidden beast` number, since 267 + 0 + 6 + 35 + 7 + 87 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (2670635787257) and next prime (2670635787271).

It can be written as a sum of positive squares in only one way, i.e., 1400416625664 + 1270219161600 = 1183392^2 + 1127040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4549634779 + ... + 4549635365.

Almost surely, 2^{2670635787264} is an apocalyptic number.

2670635787264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2670635787264 is the 1634208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670635787264

2670635787264 is an abundant number, since it is smaller than the sum of its proper divisors (5329475632153).

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

2670635787264 is an frugal number, since it uses more digits than its factorization.

2670635787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 2670635787264 in words is "two trillion, six hundred seventy billion, six hundred thirty-five million, seven hundred eighty-seven thousand, two hundred sixty-four".