620667777600 has 1512 divisors, whose sum is σ = 2515590779832. Its totient is φ = 144919756800.

The previous prime is 620667777593. The next prime is 620667777623. The reversal of 620667777600 is 6777766026.

620667777600 is a `hidden beast` number, since 6 + 20 + 6 + 6 + 7 + 7 + 7 + 7 + 600 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 456370504704 + 164297272896 = 675552^2 + 405336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5492635144 + ... + 5492635256.

Almost surely, 2^620667777600 is an apocalyptic number.

620667777600 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 620667777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257795389916).

620667777600 is an abundant number, since it is smaller than the sum of its proper divisors (1894923002232).

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

620667777600 is a wasteful number, since it uses less digits than its factorization.

620667777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 620667777600 in words is "six hundred twenty billion, six hundred sixty-seven million, seven hundred seventy-seven thousand, six hundred".