6749672400 has 360 divisors, whose sum is σ = 24010546560. Its totient is φ = 1755509760.

The previous prime is 6749672353. The next prime is 6749672407. The reversal of 6749672400 is 42769476.

It is a tau number, because it is divible by the number of its divisors (360).

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 (6749672407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40417117 + ... + 40417283.

Almost surely, 2^6749672400 is an apocalyptic number.

6749672400 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 6749672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005273280).

6749672400 is an abundant number, since it is smaller than the sum of its proper divisors (17260874160).

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

6749672400 is a wasteful number, since it uses less digits than its factorization.

6749672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6749672400 is about 82156.3898914747. The cubic root of 6749672400 is about 1889.8510002635.

The spelling of 6749672400 in words is "six billion, seven hundred forty-nine million, six hundred seventy-two thousand, four hundred".