61623786000 has 640 divisors, whose sum is σ = 234876395520. Its totient is φ = 13609728000.

The previous prime is 61623785981. The next prime is 61623786023. The reversal of 61623786000 is 68732616.

It is a self number, because there is not a number n which added to its sum of digits gives 61623786000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171653821 + ... + 171654179.

It is an arithmetic number, because the mean of its divisors is an integer number (366994368).

Almost surely, 2^61623786000 is an apocalyptic number.

61623786000 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 61623786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117438197760).

61623786000 is an abundant number, since it is smaller than the sum of its proper divisors (173252609520).

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

61623786000 is a wasteful number, since it uses less digits than its factorization.

61623786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 61623786000 in words is "sixty-one billion, six hundred twenty-three million, seven hundred eighty-six thousand".