61262021772 has 144 divisors (see below), whose sum is σ = 185380715520. Its totient is φ = 16678341504.

The previous prime is 61262021753. The next prime is 61262021801. The reversal of 61262021772 is 27712026216.

It is a happy number.

61262021772 is a `hidden beast` number, since 6 + 1 + 2 + 620 + 21 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504254 + ... + 1544442.

It is an arithmetic number, because the mean of its divisors is an integer number (1287366080).

Almost surely, 2^61262021772 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 61262021772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92690357760).

61262021772 is an abundant number, since it is smaller than the sum of its proper divisors (124118693748).

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

61262021772 is a wasteful number, since it uses less digits than its factorization.

61262021772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40492 (or 40487 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 61262021772 its reverse (27712026216), we get a palindrome (88974047988).

The spelling of 61262021772 in words is "sixty-one billion, two hundred sixty-two million, twenty-one thousand, seven hundred seventy-two".