7449391687680 has 768 divisors, whose sum is σ = 29513955744000. Its totient is φ = 1771227316224.

The previous prime is 7449391687631. The next prime is 7449391687807. The reversal of 7449391687680 is 867861939447.

7449391687680 is a `hidden beast` number, since 7 + 4 + 493 + 9 + 1 + 68 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7449391687599 and 7449391687608.

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, 89261332 + ... + 89344748.

It is an arithmetic number, because the mean of its divisors is an integer number (38429629875).

Almost surely, 2^{7449391687680} 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 7449391687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756977872000).

7449391687680 is an abundant number, since it is smaller than the sum of its proper divisors (22064564056320).

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

7449391687680 is a wasteful number, since it uses less digits than its factorization.

7449391687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83489 (or 83463 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 7449391687680 in words is "seven trillion, four hundred forty-nine billion, three hundred ninety-one million, six hundred eighty-seven thousand, six hundred eighty".