4634700547680 has 1536 divisors, whose sum is σ = 19683818864640. Its totient is φ = 1008777369600.

The previous prime is 4634700547669. The next prime is 4634700547721. The reversal of 4634700547680 is 867450074364.

4634700547680 is a `hidden beast` number, since 4 + 6 + 34 + 7 + 0 + 0 + 547 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5087486425 + ... + 5087487335.

It is an arithmetic number, because the mean of its divisors is an integer number (12814986240).

Almost surely, 2^{4634700547680} is an apocalyptic number.

4634700547680 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 4634700547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841909432320).

4634700547680 is an abundant number, since it is smaller than the sum of its proper divisors (15049118316960).

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

4634700547680 is an equidigital number, since it uses as much as digits as its factorization.

4634700547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4634700547680 in words is "four trillion, six hundred thirty-four billion, seven hundred million, five hundred forty-seven thousand, six hundred eighty".