620678086560 has 2304 divisors, whose sum is σ = 2851946496000. Its totient is φ = 123181793280.

The previous prime is 620678086541. The next prime is 620678086573. The reversal of 620678086560 is 65680876026.

620678086560 is a `hidden beast` number, since 6 + 2 + 0 + 6 + 78 + 0 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 620678086497 and 620678086506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7856684601 + ... + 7856684679.

It is an arithmetic number, because the mean of its divisors is an integer number (1237824000).

Almost surely, 2^620678086560 is an apocalyptic number.

620678086560 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 620678086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425973248000).

620678086560 is an abundant number, since it is smaller than the sum of its proper divisors (2231268409440).

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

620678086560 is a wasteful number, since it uses less digits than its factorization.

620678086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 620678086560 in words is "six hundred twenty billion, six hundred seventy-eight million, eighty-six thousand, five hundred sixty".