61240966080 has 224 divisors, whose sum is σ = 222578517504. Its totient is φ = 13975179264.

The previous prime is 61240966063. The next prime is 61240966091. The reversal of 61240966080 is 8066904216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4313874 + ... + 4328046.

It is an arithmetic number, because the mean of its divisors is an integer number (993654096).

Almost surely, 2^61240966080 is an apocalyptic number.

61240966080 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 61240966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111289258752).

61240966080 is an abundant number, since it is smaller than the sum of its proper divisors (161337551424).

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

61240966080 is a wasteful number, since it uses less digits than its factorization.

61240966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 61240966080 in words is "sixty-one billion, two hundred forty million, nine hundred sixty-six thousand, eighty".