61347502080 has 576 divisors, whose sum is σ = 222615993600. Its totient is φ = 15606743040.

The previous prime is 61347502063. The next prime is 61347502121. The reversal of 61347502080 is 8020574316.

61347502080 is a `hidden beast` number, since 61 + 347 + 50 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×61347502080² (a number of 22 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311408542 + ... + 311408738.

It is an arithmetic number, because the mean of its divisors is an integer number (386486100).

Almost surely, 2^61347502080 is an apocalyptic number.

61347502080 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 61347502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111307996800).

61347502080 is an abundant number, since it is smaller than the sum of its proper divisors (161268491520).

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

61347502080 is a wasteful number, since it uses less digits than its factorization.

61347502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 61347502080 in words is "sixty-one billion, three hundred forty-seven million, five hundred two thousand, eighty".