61947224064000 has 3808 divisors, whose sum is σ = 270329319606528. Its totient is φ = 14014218240000.

The previous prime is 61947224063971. The next prime is 61947224064001. The reversal of 61947224064000 is 46042274916.

61947224064000 is a `hidden beast` number, since 6 + 19 + 4 + 7 + 224 + 0 + 6 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61947224064001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1510907903980 + ... + 1510907904020.

Almost surely, 2^{61947224064000} is an apocalyptic number.

61947224064000 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 61947224064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135164659803264).

61947224064000 is an abundant number, since it is smaller than the sum of its proper divisors (208382095542528).

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

61947224064000 is an frugal number, since it uses more digits than its factorization.

61947224064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61947224064000 in words is "sixty-one trillion, nine hundred forty-seven billion, two hundred twenty-four million, sixty-four thousand".