55346792667840 has 672 divisors, whose sum is σ = 204257167994880. Its totient is φ = 14250235392000.

The previous prime is 55346792667833. The next prime is 55346792667923. The reversal of 55346792667840 is 4876629764355.

It is a happy number.

55346792667840 is a `hidden beast` number, since 5 + 5 + 3 + 467 + 9 + 26 + 67 + 84 + 0 = 666.

55346792667840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1058209690 + ... + 1058261990.

It is an arithmetic number, because the mean of its divisors is an integer number (303954119040).

Almost surely, 2^{55346792667840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55346792667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102128583997440).

55346792667840 is an abundant number, since it is smaller than the sum of its proper divisors (148910375327040).

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

55346792667840 is a wasteful number, since it uses less digits than its factorization.

55346792667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52803 (or 52781 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 55346792667840 in words is "fifty-five trillion, three hundred forty-six billion, seven hundred ninety-two million, six hundred sixty-seven thousand, eight hundred forty".