4712832633600 has 1728 divisors, whose sum is σ = 21475955450880. Its totient is φ = 984711168000.

The previous prime is 4712832633581. The next prime is 4712832633601. The reversal of 4712832633600 is 63362382174.

4712832633600 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 8 + 3 + 2 + 6 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4712832633600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4712832633601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1682552200 + ... + 1682555000.

It is an arithmetic number, because the mean of its divisors is an integer number (12428214960).

Almost surely, 2^{4712832633600} is an apocalyptic number.

4712832633600 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 4712832633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737977725440).

4712832633600 is an abundant number, since it is smaller than the sum of its proper divisors (16763122817280).

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

4712832633600 is a wasteful number, since it uses less digits than its factorization.

4712832633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4712832633600 in words is "four trillion, seven hundred twelve billion, eight hundred thirty-two million, six hundred thirty-three thousand, six hundred".