4892432734800 has 1920 divisors, whose sum is σ = 19997440081920. Its totient is φ = 1127656857600.

The previous prime is 4892432734799. The next prime is 4892432734817. The reversal of 4892432734800 is 84372342984.

4892432734800 is a `hidden beast` number, since 4 + 8 + 92 + 4 + 3 + 2 + 73 + 480 + 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 383 ways as a sum of consecutive naturals, for example, 29296004317 + ... + 29296004483.

It is an arithmetic number, because the mean of its divisors is an integer number (10415333376).

Almost surely, 2^{4892432734800} is an apocalyptic number.

4892432734800 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 4892432734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998720040960).

4892432734800 is an abundant number, since it is smaller than the sum of its proper divisors (15105007347120).

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

4892432734800 is a wasteful number, since it uses less digits than its factorization.

4892432734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4892432734800 in words is "four trillion, eight hundred ninety-two billion, four hundred thirty-two million, seven hundred thirty-four thousand, eight hundred".