61826712480 has 768 divisors, whose sum is σ = 254828851200. Its totient is φ = 13854965760.

The previous prime is 61826712461. The next prime is 61826712523. The reversal of 61826712480 is 8421762816.

61826712480 is a `hidden beast` number, since 618 + 2 + 6 + 7 + 1 + 24 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 29595276 + ... + 29597364.

It is an arithmetic number, because the mean of its divisors is an integer number (331808400).

Almost surely, 2^61826712480 is an apocalyptic number.

61826712480 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 61826712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127414425600).

61826712480 is an abundant number, since it is smaller than the sum of its proper divisors (193002138720).

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

61826712480 is a wasteful number, since it uses less digits than its factorization.

61826712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 61826712480 in words is "sixty-one billion, eight hundred twenty-six million, seven hundred twelve thousand, four hundred eighty".