61982077400 has 96 divisors (see below), whose sum is σ = 151896416400. Its totient is φ = 23456448000.

The previous prime is 61982077387. The next prime is 61982077403. The reversal of 61982077400 is 477028916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61982077403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2926850 + ... + 2947950.

Almost surely, 2^61982077400 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 61982077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75948208200).

61982077400 is an abundant number, since it is smaller than the sum of its proper divisors (89914339000).

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

61982077400 is a wasteful number, since it uses less digits than its factorization.

61982077400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

Adding to 61982077400 its sum of digits (44), we get a square (61982077444 = 248962²).

The spelling of 61982077400 in words is "sixty-one billion, nine hundred eighty-two million, seventy-seven thousand, four hundred".