7649594821440 has 2464 divisors, whose sum is σ = 34016283504000. Its totient is φ = 1610818928640.

The previous prime is 7649594821433. The next prime is 7649594821483. The reversal of 7649594821440 is 441284959467.

7649594821440 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 5 + 9 + 482 + 144 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 51339562486 + ... + 51339562634.

Almost surely, 2^{7649594821440} 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 7649594821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008141752000).

7649594821440 is an abundant number, since it is smaller than the sum of its proper divisors (26366688682560).

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

7649594821440 is a wasteful number, since it uses less digits than its factorization.

7649594821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 7649594821440 in words is "seven trillion, six hundred forty-nine billion, five hundred ninety-four million, eight hundred twenty-one thousand, four hundred forty".