61723494000 has 240 divisors, whose sum is σ = 246377177280. Its totient is φ = 14108198400.

The previous prime is 61723493989. The next prime is 61723494013. The reversal of 61723494000 is 49432716.

61723494000 is a `hidden beast` number, since 6 + 17 + 234 + 9 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 118935 + ... + 370934.

It is an arithmetic number, because the mean of its divisors is an integer number (1026571572).

Almost surely, 2^61723494000 is an apocalyptic number.

61723494000 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 61723494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123188588640).

61723494000 is an abundant number, since it is smaller than the sum of its proper divisors (184653683280).

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

61723494000 is a wasteful number, since it uses less digits than its factorization.

61723494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489905 (or 489886 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 61723494000 in words is "sixty-one billion, seven hundred twenty-three million, four hundred ninety-four thousand".