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6740074224 = 2432132419661
BaseRepresentation
bin1100100011011110…
…10101111011110000
3122101201122020122200
412101233111323300
5102300424333344
63032451103200
7326011454112
oct62157257360
918351566580
106740074224
112949661584
1213812a1b00
138354c9700
1447d2193b2
15296ac4069
hex191bd5ef0

6740074224 has 180 divisors, whose sum is σ = 20505171960. Its totient is φ = 2065789440.

The previous prime is 6740074217. The next prime is 6740074283. The reversal of 6740074224 is 4224700476.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10196454 + ... + 10197114.

It is an arithmetic number, because the mean of its divisors is an integer number (113917622).

Almost surely, 26740074224 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 6740074224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252585980).

6740074224 is an abundant number, since it is smaller than the sum of its proper divisors (13765097736).

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

6740074224 is a wasteful number, since it uses less digits than its factorization.

6740074224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 6740074224 is about 82097.9550537040. The cubic root of 6740074224 is about 1888.9547726983.

The spelling of 6740074224 in words is "six billion, seven hundred forty million, seventy-four thousand, two hundred twenty-four".