6754739040 has 336 divisors, whose sum is σ = 27347489568. Its totient is φ = 1543753728.

The previous prime is 6754739029. The next prime is 6754739041. The reversal of 6754739040 is 409374576.

6754739040 is a `hidden beast` number, since 67 + 547 + 3 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6754739041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 812344 + ... + 820616.

It is an arithmetic number, because the mean of its divisors is an integer number (81391338).

Almost surely, 2^6754739040 is an apocalyptic number.

6754739040 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 6754739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673744784).

6754739040 is an abundant number, since it is smaller than the sum of its proper divisors (20592750528).

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

6754739040 is an equidigital number, since it uses as much as digits as its factorization.

6754739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6754739040 is about 82187.2194443881. The cubic root of 6754739040 is about 1890.3237540621.

The spelling of 6754739040 in words is "six billion, seven hundred fifty-four million, seven hundred thirty-nine thousand, forty".