620671033382400 has 9600 divisors, whose sum is σ = 3303309278674944. Its totient is φ = 110763284889600.

The previous prime is 620671033382353. The next prime is 620671033382459. The reversal of 620671033382400 is 4283330176026.

620671033382400 is a `hidden beast` number, since 6 + 2 + 0 + 6 + 71 + 0 + 3 + 338 + 240 + 0 = 666.

620671033382400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9600).

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 959 ways as a sum of consecutive naturals, for example, 2240689651062 + ... + 2240689651338.

Almost surely, 2^{620671033382400} is an apocalyptic number.

620671033382400 is a gapful number since it is divisible by the number (60) 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 620671033382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651654639337472).

620671033382400 is an abundant number, since it is smaller than the sum of its proper divisors (2682638245292544).

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

620671033382400 is a wasteful number, since it uses less digits than its factorization.

620671033382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

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

The spelling of 620671033382400 in words is "six hundred twenty trillion, six hundred seventy-one billion, thirty-three million, three hundred eighty-two thousand, four hundred".