61345296000 has 512 divisors, whose sum is σ = 227363385600. Its totient is φ = 16257024000.

The previous prime is 61345295987. The next prime is 61345296037. The reversal of 61345296000 is 69254316.

It is a happy number.

61345296000 is a `hidden beast` number, since 6 + 1 + 3 + 45 + 2 + 9 + 600 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 91151664 + ... + 91152336.

Almost surely, 2^61345296000 is an apocalyptic number.

61345296000 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 61345296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113681692800).

61345296000 is an abundant number, since it is smaller than the sum of its proper divisors (166018089600).

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

61345296000 is a wasteful number, since it uses less digits than its factorization.

61345296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61345296000 in words is "sixty-one billion, three hundred forty-five million, two hundred ninety-six thousand".