Search a number
-
+
6747740640 = 25365174183
BaseRepresentation
bin1100100100011001…
…00101100111100000
3122102021001202000000
412102030211213200
5102304410200030
63033323300000
7326133564144
oct62214454740
918367052000
106747740640
112952a18463
12138397a600
13836c82054
14480253224
152975da860
hex1923259e0

6747740640 has 672 divisors, whose sum is σ = 26236931616. Its totient is φ = 1632337920.

The previous prime is 6747740627. The next prime is 6747740663. The reversal of 6747740640 is 460477476.

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 111 ways as a sum of consecutive naturals, for example, 81298039 + ... + 81298121.

It is an arithmetic number, because the mean of its divisors is an integer number (39043053).

Almost surely, 26747740640 is an apocalyptic number.

6747740640 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 6747740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118465808).

6747740640 is an abundant number, since it is smaller than the sum of its proper divisors (19489190976).

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

6747740640 is a wasteful number, since it uses less digits than its factorization.

6747740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6747740640 is about 82144.6324478964. The cubic root of 6747740640 is about 1889.6706909246.

The spelling of 6747740640 in words is "six billion, seven hundred forty-seven million, seven hundred forty thousand, six hundred forty".