6734100014376 has 128 divisors (see below), whose sum is σ = 19365041848320. Its totient is φ = 1911587341824.

The previous prime is 6734100014353. The next prime is 6734100014377.

6734100014376 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6734100014377) 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 31 ways as a sum of consecutive naturals, for example, 18665716 + ... + 19023068.

It is an arithmetic number, because the mean of its divisors is an integer number (151289389440).

Almost surely, 2^{6734100014376} 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 6734100014376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682520924160).

6734100014376 is an abundant number, since it is smaller than the sum of its proper divisors (12630941833944).

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

6734100014376 is a wasteful number, since it uses less digits than its factorization.

6734100014376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358095 (or 358091 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 67341000 and 14376, that added together give a palindrome (67355376).

The spelling of 6734100014376 in words is "six trillion, seven hundred thirty-four billion, one hundred million, fourteen thousand, three hundred seventy-six".