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6740053920 = 25325171943337
BaseRepresentation
bin1100100011011110…
…10000111110100000
3122101201121012210200
412101233100332200
5102300423211140
63032450425200
7326011340655
oct62157207640
918351535720
106740053920
1129496482a6
121381292200
138354c03b2
1447d211c2c
15296abd030
hex191bd0fa0

6740053920 has 576 divisors, whose sum is σ = 26309162880. Its totient is φ = 1560674304.

The previous prime is 6740053897. The next prime is 6740053933. The reversal of 6740053920 is 293500476.

6740053920 is a `hidden beast` number, since 67 + 40 + 0 + 539 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19999992 + ... + 20000328.

It is an arithmetic number, because the mean of its divisors is an integer number (45675630).

Almost surely, 26740053920 is an apocalyptic number.

6740053920 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 6740053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154581440).

6740053920 is an abundant number, since it is smaller than the sum of its proper divisors (19569108960).

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

6740053920 is a wasteful number, since it uses less digits than its factorization.

6740053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6740053920 is about 82097.8313964504. The cubic root of 6740053920 is about 1888.9528759152.

The spelling of 6740053920 in words is "six billion, seven hundred forty million, fifty-three thousand, nine hundred twenty".