6723477123792 has 640 divisors, whose sum is σ = 21298722127872. Its totient is φ = 1799851622400.

The previous prime is 6723477123791. The next prime is 6723477123799. The reversal of 6723477123792 is 2973217743276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6723477123791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10456418223 + ... + 10456418865.

Almost surely, 2^{6723477123792} is an apocalyptic number.

6723477123792 is a gapful number since it is divisible by the number (62) 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 6723477123792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649361063936).

6723477123792 is an abundant number, since it is smaller than the sum of its proper divisors (14575245004080).

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

6723477123792 is a wasteful number, since it uses less digits than its factorization.

6723477123792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 60.

The spelling of 6723477123792 in words is "six trillion, seven hundred twenty-three billion, four hundred seventy-seven million, one hundred twenty-three thousand, seven hundred ninety-two".