6862893972480 has 3520 divisors, whose sum is σ = 33795127618560. Its totient is φ = 1288798470144.

The previous prime is 6862893972443. The next prime is 6862893972509. The reversal of 6862893972480 is 842793982686.

6862893972480 is a `hidden beast` number, since 6 + 8 + 62 + 89 + 3 + 9 + 7 + 2 + 480 = 666.

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 = 6862893972399 and 6862893972408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12189864679 + ... + 12189865241.

It is an arithmetic number, because the mean of its divisors is an integer number (9600888528).

Almost surely, 2^{6862893972480} is an apocalyptic number.

6862893972480 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 6862893972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897563809280).

6862893972480 is an abundant number, since it is smaller than the sum of its proper divisors (26932233646080).

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

6862893972480 is a wasteful number, since it uses less digits than its factorization.

6862893972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 6862893972480 in words is "six trillion, eight hundred sixty-two billion, eight hundred ninety-three million, nine hundred seventy-two thousand, four hundred eighty".