61346208000 has 1152 divisors, whose sum is σ = 261295017984. Its totient is φ = 12386304000.

The previous prime is 61346207947. The next prime is 61346208013. The reversal of 61346208000 is 80264316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317855904 + ... + 317856096.

It is an arithmetic number, because the mean of its divisors is an integer number (226818592).

Almost surely, 2^61346208000 is an apocalyptic number.

61346208000 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 61346208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130647508992).

61346208000 is an abundant number, since it is smaller than the sum of its proper divisors (199948809984).

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

61346208000 is a wasteful number, since it uses less digits than its factorization.

61346208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 61346208000 in words is "sixty-one billion, three hundred forty-six million, two hundred eight thousand".