61764207856 has 80 divisors (see below), whose sum is σ = 129904685568. Its totient is φ = 28279296000.

The previous prime is 61764207793. The next prime is 61764207863. The reversal of 61764207856 is 65870246716.

It is a super-3 number, since 3×61764207856³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15928990 + ... + 15932866.

Almost surely, 2^61764207856 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 61764207856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64952342784).

61764207856 is an abundant number, since it is smaller than the sum of its proper divisors (68140477712).

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

61764207856 is a wasteful number, since it uses less digits than its factorization.

61764207856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 61764207856 in words is "sixty-one billion, seven hundred sixty-four million, two hundred seven thousand, eight hundred fifty-six".