420977773584 has 225 divisors, whose sum is σ = 1241503980717. Its totient is φ = 137717635968.

The previous prime is 420977773571. The next prime is 420977773609. The reversal of 420977773584 is 485377779024.

The square root of 420977773584 is 648828.

It is a perfect power (a square), and thus also a powerful number.

420977773584 is a `hidden beast` number, since 4 + 209 + 7 + 7 + 77 + 358 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27698279184 + 393279494400 = 166428^2 + 627120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1564973002 + ... + 1564973270.

Almost surely, 2^420977773584 is an apocalyptic number.

420977773584 is the 648828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420977773584

420977773584 is an abundant number, since it is smaller than the sum of its proper divisors (820526207133).

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

420977773584 is an frugal number, since it uses more digits than its factorization.

420977773584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 420977773584 in words is "four hundred twenty billion, nine hundred seventy-seven million, seven hundred seventy-three thousand, five hundred eighty-four".