6754640000 has 160 divisors (see below), whose sum is σ = 17551131840. Its totient is φ = 2583680000.

The previous prime is 6754639999. The next prime is 6754640017. The reversal of 6754640000 is 464576.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1838165 + ... + 1841835.

It is an arithmetic number, because the mean of its divisors is an integer number (109694574).

Almost surely, 2^6754640000 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 6754640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775565920).

6754640000 is an abundant number, since it is smaller than the sum of its proper divisors (10796491840).

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

6754640000 is an equidigital number, since it uses as much as digits as its factorization.

6754640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 6754640000 is about 82186.6169154078. The cubic root of 6754640000 is about 1890.3145151865.

The spelling of 6754640000 in words is "six billion, seven hundred fifty-four million, six hundred forty thousand".