61062613440 has 448 divisors, whose sum is σ = 212433408000. Its totient is φ = 14801633280.

The previous prime is 61062613399. The next prime is 61062613441. The reversal of 61062613440 is 4431626016.

61062613440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61062613441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127479121 + ... + 127479599.

Almost surely, 2^61062613440 is an apocalyptic number.

61062613440 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 61062613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106216704000).

61062613440 is an abundant number, since it is smaller than the sum of its proper divisors (151370794560).

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

61062613440 is a wasteful number, since it uses less digits than its factorization.

61062613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 61062613440 in words is "sixty-one billion, sixty-two million, six hundred thirteen thousand, four hundred forty".