4691681648700 has 288 divisors, whose sum is σ = 13864362624000. Its totient is φ = 1224713118720.

The previous prime is 4691681648669. The next prime is 4691681648713. The reversal of 4691681648700 is 78461861964.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2814445267 + ... + 2814446933.

It is an arithmetic number, because the mean of its divisors is an integer number (48140148000).

Almost surely, 2^{4691681648700} 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 4691681648700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932181312000).

4691681648700 is an abundant number, since it is smaller than the sum of its proper divisors (9172680975300).

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

4691681648700 is a wasteful number, since it uses less digits than its factorization.

4691681648700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 4691681648700 in words is "four trillion, six hundred ninety-one billion, six hundred eighty-one million, six hundred forty-eight thousand, seven hundred".