61482516480 has 1440 divisors, whose sum is σ = 287636590080. Its totient is φ = 12103188480.

The previous prime is 61482516467. The next prime is 61482516521. The reversal of 61482516480 is 8461528416.

It is a happy number.

61482516480 is a `hidden beast` number, since 6 + 1 + 482 + 5 + 164 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 3235921911 + ... + 3235921929.

It is an arithmetic number, because the mean of its divisors is an integer number (199747632).

Almost surely, 2^61482516480 is an apocalyptic number.

61482516480 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 61482516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143818295040).

61482516480 is an abundant number, since it is smaller than the sum of its proper divisors (226154073600).

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

61482516480 is a wasteful number, since it uses less digits than its factorization.

61482516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

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

The spelling of 61482516480 in words is "sixty-one billion, four hundred eighty-two million, five hundred sixteen thousand, four hundred eighty".