47677331686400 has 264 divisors, whose sum is σ = 127408213269120. Its totient is φ = 17585232445440.

The previous prime is 47677331686337. The next prime is 47677331686429. The reversal of 47677331686400 is 468613377674.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315085961 + ... + 315237239.

Almost surely, 2^{47677331686400} is an apocalyptic number.

47677331686400 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 47677331686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63704106634560).

47677331686400 is an abundant number, since it is smaller than the sum of its proper divisors (79730881582720).

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

47677331686400 is a wasteful number, since it uses less digits than its factorization.

47677331686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152269 (or 152246 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 62.

The spelling of 47677331686400 in words is "forty-seven trillion, six hundred seventy-seven billion, three hundred thirty-one million, six hundred eighty-six thousand, four hundred".