49676206694400 has 3360 divisors, whose sum is σ = 221677837210368. Its totient is φ = 10835538739200.

The previous prime is 49676206694377. The next prime is 49676206694497. The reversal of 49676206694400 is 449660267694.

49676206694400 is a `hidden beast` number, since 4 + 9 + 67 + 6 + 20 + 66 + 94 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 102004530957 + ... + 102004531443.

Almost surely, 2^{49676206694400} is an apocalyptic number.

49676206694400 is a gapful number since it is divisible by the number (40) 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 49676206694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110838918605184).

49676206694400 is an abundant number, since it is smaller than the sum of its proper divisors (172001630515968).

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

49676206694400 is a wasteful number, since it uses less digits than its factorization.

49676206694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 49676206694400 in words is "forty-nine trillion, six hundred seventy-six billion, two hundred six million, six hundred ninety-four thousand, four hundred".