61009329600 has 504 divisors, whose sum is σ = 231004829328. Its totient is φ = 15825715200.

The previous prime is 61009329599. The next prime is 61009329613. The reversal of 61009329600 is 692390016.

61009329600 is a `hidden beast` number, since 6 + 10 + 0 + 9 + 32 + 9 + 600 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 14383480 + ... + 14387720.

Almost surely, 2^61009329600 is an apocalyptic number.

61009329600 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 61009329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115502414664).

61009329600 is an abundant number, since it is smaller than the sum of its proper divisors (169995499728).

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

61009329600 is a wasteful number, since it uses less digits than its factorization.

61009329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 61009329600 in words is "sixty-one billion, nine million, three hundred twenty-nine thousand, six hundred".