61817472000 has 704 divisors, whose sum is σ = 236254586880. Its totient is φ = 15925248000.

The previous prime is 61817471971. The next prime is 61817472007. The reversal of 61817472000 is 27471816.

61817472000 is a `hidden beast` number, since 6 + 181 + 7 + 472 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61817472007) 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, 107135712 + ... + 107136288.

Almost surely, 2^61817472000 is an apocalyptic number.

61817472000 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 61817472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118127293440).

61817472000 is an abundant number, since it is smaller than the sum of its proper divisors (174437114880).

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

61817472000 is a wasteful number, since it uses less digits than its factorization.

61817472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 61817472000 in words is "sixty-one billion, eight hundred seventeen million, four hundred seventy-two thousand".