32776267680 has 576 divisors, whose sum is σ = 131526944640. Its totient is φ = 7641133056.

The previous prime is 32776267663. The next prime is 32776267697. The reversal of 32776267680 is 8676267723.

32776267680 is a `hidden beast` number, since 3 + 2 + 7 + 7 + 626 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32776267663) and next prime (32776267697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9601654 + ... + 9605066.

It is an arithmetic number, because the mean of its divisors is an integer number (228345390).

Almost surely, 2^32776267680 is an apocalyptic number.

32776267680 is a gapful number since it is divisible by the number (30) 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 32776267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65763472320).

32776267680 is an abundant number, since it is smaller than the sum of its proper divisors (98750676960).

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

32776267680 is a wasteful number, since it uses less digits than its factorization.

32776267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 32776267680 in words is "thirty-two billion, seven hundred seventy-six million, two hundred sixty-seven thousand, six hundred eighty".