4926547749200 has 720 divisors, whose sum is σ = 16196831461440. Its totient is φ = 1419199488000.

The previous prime is 4926547749199. The next prime is 4926547749209. The reversal of 4926547749200 is 29477456294.

It is a super-2 number, since 2×4926547749200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4926547749200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4926547749209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167937734 + ... + 167967066.

It is an arithmetic number, because the mean of its divisors is an integer number (22495599252).

Almost surely, 2^{4926547749200} is an apocalyptic number.

4926547749200 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 4926547749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098415730720).

4926547749200 is an abundant number, since it is smaller than the sum of its proper divisors (11270283712240).

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

4926547749200 is a wasteful number, since it uses less digits than its factorization.

4926547749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29436 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 4926547749200 in words is "four trillion, nine hundred twenty-six billion, five hundred forty-seven million, seven hundred forty-nine thousand, two hundred".