61167376471680 has 128 divisors (see below), whose sum is σ = 216634458398400. Its totient is φ = 16311300387840.

The previous prime is 61167376471673. The next prime is 61167376471681. The reversal of 61167376471680 is 8617467376116.

It is a happy number.

61167376471680 is a `hidden beast` number, since 6 + 1 + 1 + 67 + 376 + 47 + 168 + 0 = 666.

61167376471680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61167376471681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1769872086 + ... + 1769906645.

Almost surely, 2^{61167376471680} is an apocalyptic number.

61167376471680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61167376471680 is an abundant number, since it is smaller than the sum of its proper divisors (155467081926720).

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

61167376471680 is a wasteful number, since it uses less digits than its factorization.

61167376471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539778759 (or 3539778741 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 61167376471680 in words is "sixty-one trillion, one hundred sixty-seven billion, three hundred seventy-six million, four hundred seventy-one thousand, six hundred eighty".