61342960500 has 360 divisors, whose sum is σ = 207386723544. Its totient is φ = 15785280000.

The previous prime is 61342960439. The next prime is 61342960507. The reversal of 61342960500 is 506924316.

It is a happy number.

61342960500 is a `hidden beast` number, since 6 + 1 + 3 + 42 + 9 + 605 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 52538140944 + 8804819556 = 229212^2 + 93834^2 .

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 (61342960507) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 34059600 + ... + 34061400.

Almost surely, 2^61342960500 is an apocalyptic number.

61342960500 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 61342960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103693361772).

61342960500 is an abundant number, since it is smaller than the sum of its proper divisors (146043763044).

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

61342960500 is a wasteful number, since it uses less digits than its factorization.

61342960500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61342960500 in words is "sixty-one billion, three hundred forty-two million, nine hundred sixty thousand, five hundred".