56735603064 has 448 divisors, whose sum is σ = 190179901440. Its totient is φ = 15519651840.

The previous prime is 56735603063. The next prime is 56735603147. The reversal of 56735603064 is 46030653765.

56735603064 is a `hidden beast` number, since 5 + 6 + 7 + 35 + 603 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×56735603064³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735603063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160723912 + ... + 160724264.

Almost surely, 2^56735603064 is an apocalyptic number.

56735603064 is a gapful number since it is divisible by the number (54) 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 56735603064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089950720).

56735603064 is an abundant number, since it is smaller than the sum of its proper divisors (133444298376).

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

56735603064 is a wasteful number, since it uses less digits than its factorization.

56735603064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 56735603064 in words is "fifty-six billion, seven hundred thirty-five million, six hundred three thousand, sixty-four".