61302960000 has 640 divisors, whose sum is σ = 229139776800. Its totient is φ = 16128000000.

The previous prime is 61302959999. The next prime is 61302960013. The reversal of 61302960000 is 6920316.

It is a happy number.

61302960000 is a `hidden beast` number, since 6 + 1 + 30 + 29 + 600 + 0 + 0 = 666.

61302960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218159860 + ... + 218160140.

Almost surely, 2^61302960000 is an apocalyptic number.

61302960000 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 61302960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114569888400).

61302960000 is an abundant number, since it is smaller than the sum of its proper divisors (167836816800).

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

61302960000 is a wasteful number, since it uses less digits than its factorization.

61302960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 61302960000 in words is "sixty-one billion, three hundred two million, nine hundred sixty thousand".