6861487212960 has 768 divisors, whose sum is σ = 23837675742720. Its totient is φ = 1652332953600.

The previous prime is 6861487212929. The next prime is 6861487212961. The reversal of 6861487212960 is 692127841686.

It is a happy number.

It is a super-2 number, since 2×6861487212960² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6861487212894 and 6861487212903.

It is not an unprimeable number, because it can be changed into a prime (6861487212961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3549656154 + ... + 3549658086.

It is an arithmetic number, because the mean of its divisors is an integer number (31038640290).

Almost surely, 2^{6861487212960} is an apocalyptic number.

6861487212960 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 6861487212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918837871360).

6861487212960 is an abundant number, since it is smaller than the sum of its proper divisors (16976188529760).

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

6861487212960 is a wasteful number, since it uses less digits than its factorization.

6861487212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 6861487212960 in words is "six trillion, eight hundred sixty-one billion, four hundred eighty-seven million, two hundred twelve thousand, nine hundred sixty".