61476576480 has 720 divisors, whose sum is σ = 240892898400. Its totient is φ = 14753249280.

The previous prime is 61476576479. The next prime is 61476576503. The reversal of 61476576480 is 8467567416.

61476576480 is a `hidden beast` number, since 61 + 4 + 7 + 6 + 576 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 308927421 + ... + 308927619.

It is an arithmetic number, because the mean of its divisors is an integer number (334573470).

Almost surely, 2^61476576480 is an apocalyptic number.

61476576480 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 61476576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120446449200).

61476576480 is an abundant number, since it is smaller than the sum of its proper divisors (179416321920).

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

61476576480 is a wasteful number, since it uses less digits than its factorization.

61476576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 61476576480 in words is "sixty-one billion, four hundred seventy-six million, five hundred seventy-six thousand, four hundred eighty".