61476217920 has 896 divisors, whose sum is σ = 248863104000. Its totient is φ = 14169931776.

The previous prime is 61476217879. The next prime is 61476217927. The reversal of 61476217920 is 2971267416.

61476217920 is a `hidden beast` number, since 6 + 1 + 476 + 2 + 179 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61476217927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136917856 + ... + 136918304.

It is an arithmetic number, because the mean of its divisors is an integer number (277749000).

Almost surely, 2^61476217920 is an apocalyptic number.

61476217920 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 61476217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552000).

61476217920 is an abundant number, since it is smaller than the sum of its proper divisors (187386886080).

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

61476217920 is a wasteful number, since it uses less digits than its factorization.

61476217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61476217920 in words is "sixty-one billion, four hundred seventy-six million, two hundred seventeen thousand, nine hundred twenty".