7006349948400 has 720 divisors, whose sum is σ = 28011341659392. Its totient is φ = 1605069312000.

The previous prime is 7006349948321. The next prime is 7006349948413. The reversal of 7006349948400 is 48499436007.

It is a happy number.

7006349948400 is a `hidden beast` number, since 70 + 0 + 6 + 3 + 4 + 99 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75550060 + ... + 75642740.

Almost surely, 2^{7006349948400} 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 7006349948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005670829696).

7006349948400 is an abundant number, since it is smaller than the sum of its proper divisors (21004991710992).

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

7006349948400 is a wasteful number, since it uses less digits than its factorization.

7006349948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92822 (or 92808 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7006349948400 in words is "seven trillion, six billion, three hundred forty-nine million, nine hundred forty-eight thousand, four hundred".