61366008480 has 288 divisors, whose sum is σ = 236699184960. Its totient is φ = 13288181760.

The previous prime is 61366008467. The next prime is 61366008493. The reversal of 61366008480 is 8480066316.

It is a happy number.

61366008480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61366008467) and next prime (61366008493).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378220 + ... + 515540.

It is an arithmetic number, because the mean of its divisors is an integer number (821872170).

Almost surely, 2^61366008480 is an apocalyptic number.

61366008480 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 61366008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118349592480).

61366008480 is an abundant number, since it is smaller than the sum of its proper divisors (175333176480).

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

61366008480 is a wasteful number, since it uses less digits than its factorization.

61366008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137372 (or 137357 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 61366008480 in words is "sixty-one billion, three hundred sixty-six million, eight thousand, four hundred eighty".