7649734448160 has 3072 divisors, whose sum is σ = 34792632483840. Its totient is φ = 1531272314880.

The previous prime is 7649734448159. The next prime is 7649734448171. The reversal of 7649734448160 is 618444379467.

7649734448160 is a `hidden beast` number, since 7 + 6 + 4 + 97 + 3 + 4 + 4 + 481 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 34303741809 + ... + 34303742031.

It is an arithmetic number, because the mean of its divisors is an integer number (11325726720).

Almost surely, 2^{7649734448160} is an apocalyptic number.

7649734448160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7649734448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396316241920).

7649734448160 is an abundant number, since it is smaller than the sum of its proper divisors (27142898035680).

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

7649734448160 is a wasteful number, since it uses less digits than its factorization.

7649734448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 7649734448160 in words is "seven trillion, six hundred forty-nine billion, seven hundred thirty-four million, four hundred forty-eight thousand, one hundred sixty".