7385041415664 has 320 divisors, whose sum is σ = 23205148108800. Its totient is φ = 2230138137600.

The previous prime is 7385041415659. The next prime is 7385041415711. The reversal of 7385041415664 is 4665141405837.

7385041415664 is a `hidden beast` number, since 7 + 38 + 5 + 0 + 4 + 1 + 41 + 566 + 4 = 666.

It is a super-2 number, since 2×7385041415664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7385041415664.

It is a congruent number.

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, 1884417897 + ... + 1884421815.

It is an arithmetic number, because the mean of its divisors is an integer number (72516087840).

Almost surely, 2^{7385041415664} 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 7385041415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602574054400).

7385041415664 is an abundant number, since it is smaller than the sum of its proper divisors (15820106693136).

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

7385041415664 is a wasteful number, since it uses less digits than its factorization.

7385041415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 7385041415664 in words is "seven trillion, three hundred eighty-five billion, forty-one million, four hundred fifteen thousand, six hundred sixty-four".