7649764418898 has 576 divisors, whose sum is σ = 21758908953600. Its totient is φ = 1927006018560.

The previous prime is 7649764418887. The next prime is 7649764418903. The reversal of 7649764418898 is 8988144679467.

7649764418898 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 7 + 6 + 441 + 88 + 98 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4414173640 + ... + 4414175372.

It is an arithmetic number, because the mean of its divisors is an integer number (37775883600).

Almost surely, 2^{7649764418898} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7649764418898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879454476800).

7649764418898 is an abundant number, since it is smaller than the sum of its proper divisors (14109144534702).

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

7649764418898 is a wasteful number, since it uses less digits than its factorization.

7649764418898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 7649764418898 in words is "seven trillion, six hundred forty-nine billion, seven hundred sixty-four million, four hundred eighteen thousand, eight hundred ninety-eight".