61335927770640 has 80 divisors (see below), whose sum is σ = 192277796112000. Its totient is φ = 16172469339136.

The previous prime is 61335927770603. The next prime is 61335927770641. The reversal of 61335927770640 is 4607772953316.

61335927770640 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (61335927770641) 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, 1435744740 + ... + 1435787459.

It is an arithmetic number, because the mean of its divisors is an integer number (2403472451400).

Almost surely, 2^{61335927770640} is an apocalyptic number.

61335927770640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61335927770640 is an abundant number, since it is smaller than the sum of its proper divisors (130941868341360).

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

61335927770640 is a wasteful number, since it uses less digits than its factorization.

61335927770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871532304 (or 2871532298 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

The spelling of 61335927770640 in words is "sixty-one trillion, three hundred thirty-five billion, nine hundred twenty-seven million, seven hundred seventy thousand, six hundred forty".