7649105793156 has 144 divisors (see below), whose sum is σ = 19728659059200. Its totient is φ = 2498344992000.

The previous prime is 7649105793031. The next prime is 7649105793163. The reversal of 7649105793156 is 6513975019467.

It is a happy number.

7649105793156 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 1 + 0 + 579 + 3 + 1 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7649105793093 and 7649105793102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476245366 + ... + 476261426.

It is an arithmetic number, because the mean of its divisors is an integer number (137004576800).

Almost surely, 2^{7649105793156} 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 7649105793156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864329529600).

7649105793156 is an abundant number, since it is smaller than the sum of its proper divisors (12079553266044).

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

7649105793156 is a wasteful number, since it uses less digits than its factorization.

7649105793156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 7649105793156 in words is "seven trillion, six hundred forty-nine billion, one hundred five million, seven hundred ninety-three thousand, one hundred fifty-six".