7638465856896 has 2304 divisors, whose sum is σ = 29472384614400. Its totient is φ = 1955476131840.

The previous prime is 7638465856871. The next prime is 7638465856943. The reversal of 7638465856896 is 6986585648367.

7638465856896 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 46 + 5 + 8 + 568 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (12541132800) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60145400385 + ... + 60145400511.

It is an arithmetic number, because the mean of its divisors is an integer number (12791833600).

Almost surely, 2^{7638465856896} is an apocalyptic number.

7638465856896 is a gapful number since it is divisible by the number (76) 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 7638465856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736192307200).

7638465856896 is an abundant number, since it is smaller than the sum of its proper divisors (21833918757504).

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

7638465856896 is a wasteful number, since it uses less digits than its factorization.

7638465856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 7638465856896 in words is "seven trillion, six hundred thirty-eight billion, four hundred sixty-five million, eight hundred fifty-six thousand, eight hundred ninety-six".