34755761664 has 640 divisors, whose sum is σ = 116936265600. Its totient is φ = 10121379840.

The previous prime is 34755761641. The next prime is 34755761687. The reversal of 34755761664 is 46616755743.

34755761664 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 576 + 1 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (34755761641) and next prime (34755761687).

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 34755761664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390514132 + ... + 390514220.

It is an arithmetic number, because the mean of its divisors is an integer number (182712915).

Almost surely, 2^34755761664 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 34755761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58468132800).

34755761664 is an abundant number, since it is smaller than the sum of its proper divisors (82180503936).

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

34755761664 is a wasteful number, since it uses less digits than its factorization.

34755761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 34755761664 in words is "thirty-four billion, seven hundred fifty-five million, seven hundred sixty-one thousand, six hundred sixty-four".