61530842880 has 432 divisors, whose sum is σ = 231016968000. Its totient is φ = 15030484992.

The previous prime is 61530842839. The next prime is 61530842903. The reversal of 61530842880 is 8824803516.

61530842880 is a `hidden beast` number, since 61 + 5 + 308 + 4 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20515621 + ... + 20518619.

It is an arithmetic number, because the mean of its divisors is an integer number (534761500).

Almost surely, 2^61530842880 is an apocalyptic number.

61530842880 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 61530842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115508484000).

61530842880 is an abundant number, since it is smaller than the sum of its proper divisors (169486125120).

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

61530842880 is a wasteful number, since it uses less digits than its factorization.

61530842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 61530842880 in words is "sixty-one billion, five hundred thirty million, eight hundred forty-two thousand, eight hundred eighty".