84800556477 has 256 divisors, whose sum is σ = 167678156800. Its totient is φ = 41116999680.

The previous prime is 84800556443. The next prime is 84800556499. The reversal of 84800556477 is 77465500848.

84800556477 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 0 + 5 + 564 + 77 = 666.

It is not a de Polignac number, because 84800556477 - 2¹¹ = 84800554429 is a prime.

It is a super-2 number, since 2×84800556477² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84800556877) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276223158 + ... + 276223464.

It is an arithmetic number, because the mean of its divisors is an integer number (654992800).

Almost surely, 2^84800556477 is an apocalyptic number.

It is an amenable number.

84800556477 is a deficient number, since it is larger than the sum of its proper divisors (82877600323).

84800556477 is a wasteful number, since it uses less digits than its factorization.

84800556477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 84800556477 in words is "eighty-four billion, eight hundred million, five hundred fifty-six thousand, four hundred seventy-seven".