7934427857664 has 864 divisors, whose sum is σ = 30281081644800. Its totient is φ = 2025903882240.

The previous prime is 7934427857663. The next prime is 7934427857677. The reversal of 7934427857664 is 4667587244397.

7934427857664 is a `hidden beast` number, since 7 + 9 + 3 + 4 + 42 + 7 + 8 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 7934427857592 and 7934427857601.

It is not an unprimeable number, because it can be changed into a prime (7934427857663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219790464 + ... + 219826560.

It is an arithmetic number, because the mean of its divisors is an integer number (35047548200).

Almost surely, 2^{7934427857664} 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 7934427857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140540822400).

7934427857664 is an abundant number, since it is smaller than the sum of its proper divisors (22346653787136).

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

7934427857664 is a wasteful number, since it uses less digits than its factorization.

7934427857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36206 (or 36179 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 7934427857664 in words is "seven trillion, nine hundred thirty-four billion, four hundred twenty-seven million, eight hundred fifty-seven thousand, six hundred sixty-four".