61802237952 has 1040 divisors, whose sum is σ = 239769573120. Its totient is φ = 15415640064.

The previous prime is 61802237947. The next prime is 61802237953. The reversal of 61802237952 is 25973220816.

61802237952 is a `hidden beast` number, since 618 + 0 + 2 + 23 + 7 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61802237898 and 61802237907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61802237953) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 694407124 + ... + 694407212.

Almost surely, 2^61802237952 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 61802237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119884786560).

61802237952 is an abundant number, since it is smaller than the sum of its proper divisors (177967335168).

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

61802237952 is a wasteful number, since it uses less digits than its factorization.

61802237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61802237952 in words is "sixty-one billion, eight hundred two million, two hundred thirty-seven thousand, nine hundred fifty-two".