61475315328 has 864 divisors, whose sum is σ = 228922761600. Its totient is φ = 15728670720.

The previous prime is 61475315269. The next prime is 61475315381. The reversal of 61475315328 is 82351357416.

It is a happy number.

61475315328 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 5 + 315 + 328 = 666.

Its product of digits (604800) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1429658475 + ... + 1429658517.

It is an arithmetic number, because the mean of its divisors is an integer number (264956900).

Almost surely, 2^61475315328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61475315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114461380800).

61475315328 is an abundant number, since it is smaller than the sum of its proper divisors (167447446272).

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

61475315328 is a wasteful number, since it uses less digits than its factorization.

61475315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 105 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 61475315328 in words is "sixty-one billion, four hundred seventy-five million, three hundred fifteen thousand, three hundred twenty-eight".