628600070246400 has 7488 divisors, whose sum is σ = 2951519850639360. Its totient is φ = 129491376537600.

The previous prime is 628600070246383. The next prime is 628600070246419. The reversal of 628600070246400 is 4642070006826.

628600070246400 is a `hidden beast` number, since 62 + 8 + 60 + 0 + 0 + 70 + 2 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7062922137556 + ... + 7062922137644.

It is an arithmetic number, because the mean of its divisors is an integer number (394166646720).

Almost surely, 2^{628600070246400} is an apocalyptic number.

628600070246400 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 628600070246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475759925319680).

628600070246400 is an abundant number, since it is smaller than the sum of its proper divisors (2322919780392960).

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

628600070246400 is a wasteful number, since it uses less digits than its factorization.

628600070246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 628600070246400 in words is "six hundred twenty-eight trillion, six hundred billion, seventy million, two hundred forty-six thousand, four hundred".