61530749280 has 2688 divisors, whose sum is σ = 319840690176. Its totient is φ = 10749542400.

The previous prime is 61530749243. The next prime is 61530749281. The reversal of 61530749280 is 8294703516.

61530749280 is a `hidden beast` number, since 6 + 153 + 0 + 7 + 492 + 8 + 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 not an unprimeable number, because it can be changed into a prime (61530749281) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1984862865 + ... + 1984862895.

It is an arithmetic number, because the mean of its divisors is an integer number (118988352).

It is a 1-persistent number, because it is pandigital, but 2⋅61530749280 = 123061498560 is not.

Almost surely, 2^61530749280 is an apocalyptic number.

61530749280 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 61530749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159920345088).

61530749280 is an abundant number, since it is smaller than the sum of its proper divisors (258309940896).

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

61530749280 is a wasteful number, since it uses less digits than its factorization.

61530749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61530749280 in words is "sixty-one billion, five hundred thirty million, seven hundred forty-nine thousand, two hundred eighty".