61460835870720 has 1152 divisors, whose sum is σ = 234071191186560. Its totient is φ = 13675541299200.

The previous prime is 61460835870713. The next prime is 61460835870781. The reversal of 61460835870720 is 2707853806416.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8746379847 + ... + 8746386873.

It is an arithmetic number, because the mean of its divisors is an integer number (203186797905).

Almost surely, 2^{61460835870720} is an apocalyptic number.

61460835870720 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 61460835870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117035595593280).

61460835870720 is an abundant number, since it is smaller than the sum of its proper divisors (172610355315840).

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

61460835870720 is a wasteful number, since it uses less digits than its factorization.

61460835870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 61460835870720 in words is "sixty-one trillion, four hundred sixty billion, eight hundred thirty-five million, eight hundred seventy thousand, seven hundred twenty".