620154274810800 has 480 divisors, whose sum is σ = 2171739422638080. Its totient is φ = 150796746777600.

The previous prime is 620154274810799. The next prime is 620154274810813. The reversal of 620154274810800 is 8018472451026.

It is a happy number.

It is a super-2 number, since 2×620154274810800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 620154274810800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51916111 + ... + 62734289.

It is an arithmetic number, because the mean of its divisors is an integer number (4524457130496).

Almost surely, 2^{620154274810800} is an apocalyptic number.

620154274810800 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 620154274810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085869711319040).

620154274810800 is an abundant number, since it is smaller than the sum of its proper divisors (1551585147827280).

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

620154274810800 is a wasteful number, since it uses less digits than its factorization.

620154274810800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818321 (or 10818310 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 620154274810800 in words is "six hundred twenty trillion, one hundred fifty-four billion, two hundred seventy-four million, eight hundred ten thousand, eight hundred".