32772785561460 has 144 divisors (see below), whose sum is σ = 120295401198336. Its totient is φ = 7050279914496.

The previous prime is 32772785561353. The next prime is 32772785561471. The reversal of 32772785561460 is 6416558727723.

It is a happy number.

32772785561460 is a `hidden beast` number, since 3 + 2 + 7 + 7 + 2 + 7 + 8 + 5 + 5 + 614 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764982912 + ... + 765025751.

It is an arithmetic number, because the mean of its divisors is an integer number (835384730544).

Almost surely, 2^{32772785561460} is an apocalyptic number.

32772785561460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32772785561460 is an abundant number, since it is smaller than the sum of its proper divisors (87522615636876).

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

32772785561460 is a wasteful number, since it uses less digits than its factorization.

32772785561460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530008702 (or 1530008697 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 32772785561460 in words is "thirty-two trillion, seven hundred seventy-two billion, seven hundred eighty-five million, five hundred sixty-one thousand, four hundred sixty".