61327475984400 has 120 divisors (see below), whose sum is σ = 196467789468000. Its totient is φ = 16352708152320.

The previous prime is 61327475984377. The next prime is 61327475984413. The reversal of 61327475984400 is 448957472316.

61327475984400 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 (120).

It is a super-3 number, since 3×61327475984400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 23 ways as a sum of consecutive naturals, for example, 13313476 + ... + 17317724.

It is an arithmetic number, because the mean of its divisors is an integer number (1637231578900).

It is a 1-persistent number, because it is pandigital, but 2⋅61327475984400 = 122654951968800 is not.

Almost surely, 2^{61327475984400} is an apocalyptic number.

61327475984400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61327475984400 is an abundant number, since it is smaller than the sum of its proper divisors (135140313483600).

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

61327475984400 is a wasteful number, since it uses less digits than its factorization.

61327475984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017033 (or 4017022 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 61327475984400 in words is "sixty-one trillion, three hundred twenty-seven billion, four hundred seventy-five million, nine hundred eighty-four thousand, four hundred".