7268981672064 has 1536 divisors, whose sum is σ = 25204890009600. Its totient is φ = 1844630323200.

The previous prime is 7268981672059. The next prime is 7268981672081. The reversal of 7268981672064 is 4602761898627.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7268981671986 and 7268981672004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32596330257 + ... + 32596330479.

It is an arithmetic number, because the mean of its divisors is an integer number (16409433600).

Almost surely, 2^{7268981672064} 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 7268981672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602445004800).

7268981672064 is an abundant number, since it is smaller than the sum of its proper divisors (17935908337536).

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

7268981672064 is a wasteful number, since it uses less digits than its factorization.

7268981672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 7268981672064 in words is "seven trillion, two hundred sixty-eight billion, nine hundred eighty-one million, six hundred seventy-two thousand, sixty-four".