61839360000 has 900 divisors, whose sum is σ = 247516413144. Its totient is φ = 14745600000.

The previous prime is 61839359969. The next prime is 61839360001. The reversal of 61839360000 is 6393816.

It is a happy number.

61839360000 is a `hidden beast` number, since 6 + 18 + 39 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61839360001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1013759970 + ... + 1013760030.

Almost surely, 2^61839360000 is an apocalyptic number.

61839360000 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 61839360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123758206572).

61839360000 is an abundant number, since it is smaller than the sum of its proper divisors (185677053144).

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

61839360000 is an equidigital number, since it uses as much as digits as its factorization.

61839360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 61839360000 in words is "sixty-one billion, eight hundred thirty-nine million, three hundred sixty thousand".