61006047000 has 512 divisors, whose sum is σ = 212721500160. Its totient is φ = 14484480000.

The previous prime is 61006046989. The next prime is 61006047019. The reversal of 61006047000 is 74060016.

61006047000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74306590 + ... + 74307410.

It is an arithmetic number, because the mean of its divisors is an integer number (415471680).

Almost surely, 2^61006047000 is an apocalyptic number.

61006047000 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 61006047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106360750080).

61006047000 is an abundant number, since it is smaller than the sum of its proper divisors (151715453160).

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

61006047000 is a wasteful number, since it uses less digits than its factorization.

61006047000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 61006047000 in words is "sixty-one billion, six million, forty-seven thousand".