6786072140400 has 2880 divisors, whose sum is σ = 31754367590400. Its totient is φ = 1355382927360.

The previous prime is 6786072140369. The next prime is 6786072140401. The reversal of 6786072140400 is 40412706876.

6786072140400 is a `hidden beast` number, since 67 + 86 + 0 + 72 + 1 + 40 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786072140401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8622708807 + ... + 8622709593.

It is an arithmetic number, because the mean of its divisors is an integer number (11025822080).

Almost surely, 2^{6786072140400} is an apocalyptic number.

6786072140400 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 6786072140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877183795200).

6786072140400 is an abundant number, since it is smaller than the sum of its proper divisors (24968295450000).

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

6786072140400 is a wasteful number, since it uses less digits than its factorization.

6786072140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6786072140400 in words is "six trillion, seven hundred eighty-six billion, seventy-two million, one hundred forty thousand, four hundred".