7660477001664 has 280 divisors, whose sum is σ = 23514672897408. Its totient is φ = 2463309895680.

The previous prime is 7660477001629. The next prime is 7660477001699. The reversal of 7660477001664 is 4661007740667.

7660477001664 is a `hidden beast` number, since 7 + 6 + 6 + 0 + 477 + 0 + 0 + 166 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7660477001629) and next prime (7660477001699).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7660477001664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50867982 + ... + 51018354.

Almost surely, 2^{7660477001664} 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 7660477001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757336448704).

7660477001664 is an abundant number, since it is smaller than the sum of its proper divisors (15854195895744).

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

7660477001664 is a wasteful number, since it uses less digits than its factorization.

7660477001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150745 (or 150726 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

It can be divided in two parts, 766047 and 7001664, that added together give a triangular number (7767711 = T₃₉₄₁).

The spelling of 7660477001664 in words is "seven trillion, six hundred sixty billion, four hundred seventy-seven million, one thousand, six hundred sixty-four".