620882267435040 has 768 divisors, whose sum is σ = 2232350824402944. Its totient is φ = 143961056870400.

The previous prime is 620882267435011. The next prime is 620882267435057. The reversal of 620882267435040 is 40534762288026.

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 127 ways as a sum of consecutive naturals, for example, 3434049922 + ... + 3434230718.

It is an arithmetic number, because the mean of its divisors is an integer number (2906706802608).

Almost surely, 2^{620882267435040} is an apocalyptic number.

620882267435040 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 620882267435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116175412201472).

620882267435040 is an abundant number, since it is smaller than the sum of its proper divisors (1611468556967904).

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

620882267435040 is a wasteful number, since it uses less digits than its factorization.

620882267435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181333 (or 181325 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 620882267435040 in words is "six hundred twenty trillion, eight hundred eighty-two billion, two hundred sixty-seven million, four hundred thirty-five thousand, forty".