4645922734800 has 720 divisors, whose sum is σ = 17693254225920. Its totient is φ = 1167473088000.

The previous prime is 4645922734777. The next prime is 4645922734823. The reversal of 4645922734800 is 84372295464.

It is a happy number.

4645922734800 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 92 + 2 + 73 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4645922734777) and next prime (4645922734823).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4645922734800² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 352732215 + ... + 352745385.

Almost surely, 2^{4645922734800} is an apocalyptic number.

4645922734800 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 4645922734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846627112960).

4645922734800 is an abundant number, since it is smaller than the sum of its proper divisors (13047331491120).

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

4645922734800 is a wasteful number, since it uses less digits than its factorization.

4645922734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4645922734800 in words is "four trillion, six hundred forty-five billion, nine hundred twenty-two million, seven hundred thirty-four thousand, eight hundred".