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6490323840 = 2735711213307
BaseRepresentation
bin1100000101101101…
…00111101110000000
3121202022200121112110
412002312213232000
5101243010330330
62552010055320
7316556561640
oct60266475600
917668617473
106490323840
112830689400
12131171a540
137c5843810
14457da6520
1527ebdddb0
hex182da7b80

6490323840 has 768 divisors, whose sum is σ = 28078364160. Its totient is φ = 1240842240.

The previous prime is 6490323817. The next prime is 6490323841. The reversal of 6490323840 is 483230946.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6490323841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21140967 + ... + 21141273.

It is an arithmetic number, because the mean of its divisors is an integer number (36560370).

Almost surely, 26490323840 is an apocalyptic number.

6490323840 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 6490323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039182080).

6490323840 is an abundant number, since it is smaller than the sum of its proper divisors (21588040320).

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

6490323840 is a wasteful number, since it uses less digits than its factorization.

6490323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 6490323840 is about 80562.5461365267. The cubic root of 6490323840 is about 1865.3290576030.

The spelling of 6490323840 in words is "six billion, four hundred ninety million, three hundred twenty-three thousand, eight hundred forty".