6746019840 has 288 divisors, whose sum is σ = 26723118240. Its totient is φ = 1541799936.

The previous prime is 6746019809. The next prime is 6746019851. The reversal of 6746019840 is 489106476.

6746019840 is a `hidden beast` number, since 67 + 460 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639892 + ... + 650348.

It is an arithmetic number, because the mean of its divisors is an integer number (92788605).

Almost surely, 2^6746019840 is an apocalyptic number.

6746019840 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 6746019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361559120).

6746019840 is an abundant number, since it is smaller than the sum of its proper divisors (19977098400).

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

6746019840 is a wasteful number, since it uses less digits than its factorization.

6746019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6746019840 is about 82134.1575716218. The cubic root of 6746019840 is about 1889.5100434844.

The spelling of 6746019840 in words is "six billion, seven hundred forty-six million, nineteen thousand, eight hundred forty".