61470390412800 has 960 divisors, whose sum is σ = 241849579118400. Its totient is φ = 15427743252480.

The previous prime is 61470390412771. The next prime is 61470390412819. The reversal of 61470390412800 is 821409307416.

61470390412800 is a `hidden beast` number, since 6 + 1 + 4 + 70 + 3 + 90 + 412 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475826616 + ... + 475955784.

It is an arithmetic number, because the mean of its divisors is an integer number (251926644915).

Almost surely, 2^{61470390412800} is an apocalyptic number.

61470390412800 is a gapful number since it is divisible by the number (60) 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 61470390412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120924789559200).

61470390412800 is an abundant number, since it is smaller than the sum of its proper divisors (180379188705600).

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

61470390412800 is an equidigital number, since it uses as much as digits as its factorization.

61470390412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129235 (or 129196 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61470390412800 in words is "sixty-one trillion, four hundred seventy billion, three hundred ninety million, four hundred twelve thousand, eight hundred".