4620835540800 has 252 divisors, whose sum is σ = 16454969924640. Its totient is φ = 1229864739840.

The previous prime is 4620835540787. The next prime is 4620835540819. The reversal of 4620835540800 is 80455380264.

4620835540800 is a `hidden beast` number, since 4 + 6 + 20 + 8 + 3 + 5 + 540 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7224421 + ... + 7837979.

Almost surely, 2^{4620835540800} is an apocalyptic number.

4620835540800 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 4620835540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227484962320).

4620835540800 is an abundant number, since it is smaller than the sum of its proper divisors (11834134383840).

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

4620835540800 is a wasteful number, since it uses less digits than its factorization.

4620835540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614110 (or 614092 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4620835540800 in words is "four trillion, six hundred twenty billion, eight hundred thirty-five million, five hundred forty thousand, eight hundred".