6978134286000 has 1440 divisors, whose sum is σ = 26625259874304. Its totient is φ = 1765976256000.

The previous prime is 6978134285977. The next prime is 6978134286017. The reversal of 6978134286000 is 6824318796.

6978134286000 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 1 + 3 + 4 + 28 + 600 + 0 = 666.

It is a super-2 number, since 2×6978134286000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31292081889 + ... + 31292082111.

Almost surely, 2^{6978134286000} is an apocalyptic number.

6978134286000 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 6978134286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312629937152).

6978134286000 is an abundant number, since it is smaller than the sum of its proper divisors (19647125588304).

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

6978134286000 is a wasteful number, since it uses less digits than its factorization.

6978134286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6978134286000 in words is "six trillion, nine hundred seventy-eight billion, one hundred thirty-four million, two hundred eighty-six thousand".