61504176480 has 576 divisors, whose sum is σ = 215142153408. Its totient is φ = 14750760960.

The previous prime is 61504176463. The next prime is 61504176511. The reversal of 61504176480 is 8467140516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339801990 + ... + 339802170.

It is an arithmetic number, because the mean of its divisors is an integer number (373510683).

Almost surely, 2^61504176480 is an apocalyptic number.

61504176480 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 61504176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571076704).

61504176480 is an abundant number, since it is smaller than the sum of its proper divisors (153637976928).

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

61504176480 is a wasteful number, since it uses less digits than its factorization.

61504176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 61504176480 in words is "sixty-one billion, five hundred four million, one hundred seventy-six thousand, four hundred eighty".