6730970400 has 1440 divisors, whose sum is σ = 32667909120. Its totient is φ = 1306368000.

The previous prime is 6730970399. The next prime is 6730970417. The reversal of 6730970400 is 40790376.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94802365 + ... + 94802435.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^6730970400 is an apocalyptic number.

6730970400 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 6730970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

6730970400 is an abundant number, since it is smaller than the sum of its proper divisors (25936938720).

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

6730970400 is a wasteful number, since it uses less digits than its factorization.

6730970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6730970400 is about 82042.4914297463. The cubic root of 6730970400 is about 1888.1039185595.

The spelling of 6730970400 in words is "six billion, seven hundred thirty million, nine hundred seventy thousand, four hundred".