6934371840 has 240 divisors, whose sum is σ = 26199881136. Its totient is φ = 1680998400.

The previous prime is 6934371833. The next prime is 6934371863. The reversal of 6934371840 is 481734396.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239760 + ... + 267120.

Almost surely, 2^6934371840 is an apocalyptic number.

6934371840 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 6934371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099940568).

6934371840 is an abundant number, since it is smaller than the sum of its proper divisors (19265509296).

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

6934371840 is a wasteful number, since it uses less digits than its factorization.

6934371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27401 (or 27382 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6934371840 is about 83272.8757759692. The cubic root of 6934371840 is about 1906.9342042847.

The spelling of 6934371840 in words is "six billion, nine hundred thirty-four million, three hundred seventy-one thousand, eight hundred forty".