61470601920 has 2016 divisors, whose sum is σ = 294824432448. Its totient is φ = 12039487488.

The previous prime is 61470601901. The next prime is 61470601943. The reversal of 61470601920 is 2910607416.

61470601920 is a `hidden beast` number, since 6 + 1 + 47 + 0 + 601 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 842063004 + ... + 842063076.

It is an arithmetic number, because the mean of its divisors is an integer number (146242278).

Almost surely, 2^61470601920 is an apocalyptic number.

61470601920 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 61470601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412216224).

61470601920 is an abundant number, since it is smaller than the sum of its proper divisors (233353830528).

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

61470601920 is a wasteful number, since it uses less digits than its factorization.

61470601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 61470601920 in words is "sixty-one billion, four hundred seventy million, six hundred one thousand, nine hundred twenty".