7444547345664 has 432 divisors, whose sum is σ = 25832089692864. Its totient is φ = 2031597158400.

The previous prime is 7444547345657. The next prime is 7444547345671. The reversal of 7444547345664 is 4665437454447.

7444547345664 is a `hidden beast` number, since 7 + 4 + 4 + 4 + 54 + 73 + 456 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (7444547345657) and next prime (7444547345671).

It is a congruent number.

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, 13232799 + ... + 13783905.

Almost surely, 2^{7444547345664} 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 7444547345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916044846432).

7444547345664 is an abundant number, since it is smaller than the sum of its proper divisors (18387542347200).

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

7444547345664 is a wasteful number, since it uses less digits than its factorization.

7444547345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551194 (or 551177 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 63.

The spelling of 7444547345664 in words is "seven trillion, four hundred forty-four billion, five hundred forty-seven million, three hundred forty-five thousand, six hundred sixty-four".