977427774450 has 144 divisors (see below), whose sum is σ = 2642190779592. Its totient is φ = 259044480000.

The previous prime is 977427774439. The next prime is 977427774481. The reversal of 977427774450 is 54477724779.

977427774450 is a `hidden beast` number, since 9 + 7 + 7 + 42 + 77 + 74 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7795653849 + 969632120601 = 88293^2 + 984699^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185784820 + ... + 185790080.

Almost surely, 2^977427774450 is an apocalyptic number.

977427774450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 977427774450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321095389796).

977427774450 is an abundant number, since it is smaller than the sum of its proper divisors (1664763005142).

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

977427774450 is a wasteful number, since it uses less digits than its factorization.

977427774450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 977427774450 in words is "nine hundred seventy-seven billion, four hundred twenty-seven million, seven hundred seventy-four thousand, four hundred fifty".