2006770579632 has 720 divisors, whose sum is σ = 7098255111168. Its totient is φ = 518088130560.

The previous prime is 2006770579603. The next prime is 2006770579711. The reversal of 2006770579632 is 2369750776002.

2006770579632 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 7 + 7 + 0 + 579 + 63 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2202821257 + ... + 2202822167.

Almost surely, 2^{2006770579632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006770579632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549127555584).

2006770579632 is an abundant number, since it is smaller than the sum of its proper divisors (5091484531536).

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

2006770579632 is a wasteful number, since it uses less digits than its factorization.

2006770579632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 2006770579632 in words is "two trillion, six billion, seven hundred seventy million, five hundred seventy-nine thousand, six hundred thirty-two".