61066592496 has 720 divisors, whose sum is σ = 229628517120. Its totient is φ = 15211722240.

The previous prime is 61066592479. The next prime is 61066592513. The reversal of 61066592496 is 69429566016.

61066592496 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 6 + 592 + 49 + 6 = 666.

61066592496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61066592479) and next prime (61066592513).

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 143 ways as a sum of consecutive naturals, for example, 184491051 + ... + 184491381.

It is an arithmetic number, because the mean of its divisors is an integer number (318928496).

Almost surely, 2^61066592496 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 61066592496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114814258560).

61066592496 is an abundant number, since it is smaller than the sum of its proper divisors (168561924624).

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

61066592496 is a wasteful number, since it uses less digits than its factorization.

61066592496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 61066592496 in words is "sixty-one billion, sixty-six million, five hundred ninety-two thousand, four hundred ninety-six".