6934867954560 has 2560 divisors, whose sum is σ = 32760604800000. Its totient is φ = 1385293529088.

The previous prime is 6934867954537. The next prime is 6934867954561. The reversal of 6934867954560 is 654597684396.

6934867954560 is a `hidden beast` number, since 6 + 9 + 3 + 4 + 8 + 6 + 7 + 9 + 54 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6934867954561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4391935851 + ... + 4391937429.

It is an arithmetic number, because the mean of its divisors is an integer number (12797111250).

Almost surely, 2^{6934867954560} is an apocalyptic number.

6934867954560 is a gapful number since it is divisible by the number (60) 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 6934867954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380302400000).

6934867954560 is an abundant number, since it is smaller than the sum of its proper divisors (25825736845440).

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

6934867954560 is a wasteful number, since it uses less digits than its factorization.

6934867954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6934867954560 in words is "six trillion, nine hundred thirty-four billion, eight hundred sixty-seven million, nine hundred fifty-four thousand, five hundred sixty".