6974346240 has 440 divisors, whose sum is σ = 25466186592. Its totient is φ = 1824768000.

The previous prime is 6974346227. The next prime is 6974346263. The reversal of 6974346240 is 426434796.

It is a happy number.

6974346240 is a `hidden beast` number, since 69 + 7 + 4 + 346 + 240 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 27786115 + ... + 27786365.

Almost surely, 2^6974346240 is an apocalyptic number.

6974346240 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 6974346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733093296).

6974346240 is an abundant number, since it is smaller than the sum of its proper divisors (18491840352).

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

6974346240 is a wasteful number, since it uses less digits than its factorization.

6974346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6974346240 is about 83512.5513919914. The cubic root of 6974346240 is about 1910.5914709230.

The spelling of 6974346240 in words is "six billion, nine hundred seventy-four million, three hundred forty-six thousand, two hundred forty".