61422876900 has 648 divisors, whose sum is σ = 246490223616. Its totient is φ = 12649996800.

The previous prime is 61422876899. The next prime is 61422876917. The reversal of 61422876900 is 967822416.

It is a happy number.

61422876900 is a `hidden beast` number, since 61 + 422 + 87 + 6 + 90 + 0 = 666.

61422876900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61422876900² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61607202 + ... + 61608198.

Almost surely, 2^61422876900 is an apocalyptic number.

61422876900 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 61422876900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123245111808).

61422876900 is an abundant number, since it is smaller than the sum of its proper divisors (185067346716).

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

61422876900 is a wasteful number, since it uses less digits than its factorization.

61422876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61422876900 in words is "sixty-one billion, four hundred twenty-two million, eight hundred seventy-six thousand, nine hundred".