620057263775040 has 10080 divisors, whose sum is σ = 3091170565992960. Its totient is φ = 117167623372800.

The previous prime is 620057263774903. The next prime is 620057263775087. The reversal of 620057263775040 is 40577362750026.

It is a happy number.

620057263775040 is a `hidden beast` number, since 6 + 2 + 0 + 0 + 5 + 7 + 2 + 63 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 8733200898205 + ... + 8733200898275.

Almost surely, 2^{620057263775040} is an apocalyptic number.

620057263775040 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 620057263775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545585282996480).

620057263775040 is an abundant number, since it is smaller than the sum of its proper divisors (2471113302217920).

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

620057263775040 is a wasteful number, since it uses less digits than its factorization.

620057263775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 620057263775040 in words is "six hundred twenty trillion, fifty-seven billion, two hundred sixty-three million, seven hundred seventy-five thousand, forty".