6747901440 has 320 divisors, whose sum is σ = 25455513600. Its totient is φ = 1492254720.

The previous prime is 6747901403. The next prime is 6747901441. The reversal of 6747901440 is 441097476.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6747901392 and 6747901401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6747901441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664536 + ... + 1668584.

It is an arithmetic number, because the mean of its divisors is an integer number (79548480).

Almost surely, 2^6747901440 is an apocalyptic number.

6747901440 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 6747901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727756800).

6747901440 is an abundant number, since it is smaller than the sum of its proper divisors (18707612160).

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

6747901440 is a wasteful number, since it uses less digits than its factorization.

6747901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 6747901440 is about 82145.6112035208. The cubic root of 6747901440 is about 1889.6857012147.

The spelling of 6747901440 in words is "six billion, seven hundred forty-seven million, nine hundred one thousand, four hundred forty".