61324776000 has 560 divisors, whose sum is σ = 229359482352. Its totient is φ = 16174080000.

The previous prime is 61324775999. The next prime is 61324776047. The reversal of 61324776000 is 67742316.

61324776000 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 47 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18951376896 + 42373399104 = 137664^2 + 205848^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 65447532 + ... + 65448468.

Almost surely, 2^61324776000 is an apocalyptic number.

61324776000 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 61324776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114679741176).

61324776000 is an abundant number, since it is smaller than the sum of its proper divisors (168034706352).

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

61324776000 is a wasteful number, since it uses less digits than its factorization.

61324776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 61324776000 in words is "sixty-one billion, three hundred twenty-four million, seven hundred seventy-six thousand".