6734487921840 has 240 divisors, whose sum is σ = 25850212105536. Its totient is φ = 1539156326400.

The previous prime is 6734487921839. The next prime is 6734487921853. The reversal of 6734487921840 is 481297844376.

6734487921840 is a `hidden beast` number, since 6 + 7 + 3 + 448 + 7 + 9 + 2 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 54274270 + ... + 54398210.

Almost surely, 2^{6734487921840} is an apocalyptic number.

6734487921840 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 6734487921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925106052768).

6734487921840 is an abundant number, since it is smaller than the sum of its proper divisors (19115724183696).

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

6734487921840 is a wasteful number, since it uses less digits than its factorization.

6734487921840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134748 (or 134739 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6734487921840 in words is "six trillion, seven hundred thirty-four billion, four hundred eighty-seven million, nine hundred twenty-one thousand, eight hundred forty".