61420574592 has 1024 divisors, whose sum is σ = 222082560000. Its totient is φ = 16523329536.

The previous prime is 61420574587. The next prime is 61420574597. The reversal of 61420574592 is 29547502416.

61420574592 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 0 + 57 + 4 + 592 = 666.

61420574592 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 (61420574587) and next prime (61420574597).

It is a super-2 number, since 2×61420574592² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61420574597) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1041026659 + ... + 1041026717.

It is an arithmetic number, because the mean of its divisors is an integer number (216877500).

Almost surely, 2^61420574592 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 61420574592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280000).

61420574592 is an abundant number, since it is smaller than the sum of its proper divisors (160661985408).

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

61420574592 is a wasteful number, since it uses less digits than its factorization.

61420574592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

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

The spelling of 61420574592 in words is "sixty-one billion, four hundred twenty million, five hundred seventy-four thousand, five hundred ninety-two".