7895961368064 has 1200 divisors, whose sum is σ = 30419365268160. Its totient is φ = 2015801303040.

The previous prime is 7895961368041. The next prime is 7895961368093. The reversal of 7895961368064 is 4608631695987.

It is a super-2 number, since 2×7895961368064² (a number of 27 digits) contains 22 as substring.

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 = 7895961367983 and 7895961368001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1318848079 + ... + 1318854065.

Almost surely, 2^{7895961368064} 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 7895961368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209682634080).

7895961368064 is an abundant number, since it is smaller than the sum of its proper divisors (22523403900096).

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

7895961368064 is a wasteful number, since it uses less digits than its factorization.

7895961368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 7895961368064 in words is "seven trillion, eight hundred ninety-five billion, nine hundred sixty-one million, three hundred sixty-eight thousand, sixty-four".