61826973120 has 504 divisors, whose sum is σ = 235765256688. Its totient is φ = 14870338560.

The previous prime is 61826973119. The next prime is 61826973151. The reversal of 61826973120 is 2137962816.

61826973120 is a `hidden beast` number, since 618 + 2 + 6 + 9 + 7 + 3 + 1 + 20 = 666.

61826973120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 486826497 + ... + 486826623.

Almost surely, 2^61826973120 is an apocalyptic number.

61826973120 is a gapful number since it is divisible by the number (60) 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 61826973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117882628344).

61826973120 is an abundant number, since it is smaller than the sum of its proper divisors (173938283568).

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

61826973120 is a wasteful number, since it uses less digits than its factorization.

61826973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61826973120 in words is "sixty-one billion, eight hundred twenty-six million, nine hundred seventy-three thousand, one hundred twenty".