61164172800 has 360 divisors, whose sum is σ = 220943202480. Its totient is φ = 16157491200.

The previous prime is 61164172793. The next prime is 61164172801. The reversal of 61164172800 is 827146116.

It is a happy number.

61164172800 is a `hidden beast` number, since 6 + 1 + 1 + 641 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61164172801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12554365 + ... + 12559235.

It is an arithmetic number, because the mean of its divisors is an integer number (613731118).

Almost surely, 2^61164172800 is an apocalyptic number.

61164172800 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 61164172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110471601240).

61164172800 is an abundant number, since it is smaller than the sum of its proper divisors (159779029680).

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

61164172800 is a wasteful number, since it uses less digits than its factorization.

61164172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 61164172800 in words is "sixty-one billion, one hundred sixty-four million, one hundred seventy-two thousand, eight hundred".