61841466000 has 720 divisors, whose sum is σ = 236077890048. Its totient is φ = 15069888000.

The previous prime is 61841465971. The next prime is 61841466023. The reversal of 61841466000 is 66414816.

61841466000 is a `hidden beast` number, since 6 + 1 + 8 + 4 + 1 + 46 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201437847 + ... + 201438153.

Almost surely, 2^61841466000 is an apocalyptic number.

61841466000 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 61841466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118038945024).

61841466000 is an abundant number, since it is smaller than the sum of its proper divisors (174236424048).

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

61841466000 is a wasteful number, since it uses less digits than its factorization.

61841466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 61841466000 in words is "sixty-one billion, eight hundred forty-one million, four hundred sixty-six thousand".