61420716000 has 432 divisors, whose sum is σ = 253578321360. Its totient is φ = 14038617600.

The previous prime is 61420715969. The next prime is 61420716011. The reversal of 61420716000 is 61702416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1746591 + ... + 1781409.

It is an arithmetic number, because the mean of its divisors is an integer number (586986855).

Almost surely, 2^61420716000 is an apocalyptic number.

61420716000 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 61420716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126789160680).

61420716000 is an abundant number, since it is smaller than the sum of its proper divisors (192157605360).

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

61420716000 is a wasteful number, since it uses less digits than its factorization.

61420716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34864 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61420716000 in words is "sixty-one billion, four hundred twenty million, seven hundred sixteen thousand".