61874367912 has 256 divisors, whose sum is σ = 206596915200. Its totient is φ = 16784651520.

The previous prime is 61874367853. The next prime is 61874367923. The reversal of 61874367912 is 21976347816.

61874367912 is a `hidden beast` number, since 61 + 87 + 436 + 79 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471763 + ... + 2496669.

It is an arithmetic number, because the mean of its divisors is an integer number (807019200).

Almost surely, 2^61874367912 is an apocalyptic number.

61874367912 is a gapful number since it is divisible by the number (62) 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 61874367912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103298457600).

61874367912 is an abundant number, since it is smaller than the sum of its proper divisors (144722547288).

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

61874367912 is a wasteful number, since it uses less digits than its factorization.

61874367912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25013 (or 25003 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 61874367912 in words is "sixty-one billion, eight hundred seventy-four million, three hundred sixty-seven thousand, nine hundred twelve".