61780612481280 has 1440 divisors, whose sum is σ = 278142628135680. Its totient is φ = 12719575203840.

The previous prime is 61780612481267. The next prime is 61780612481293. The reversal of 61780612481280 is 8218421608716.

61780612481280 is a `hidden beast` number, since 6 + 1 + 7 + 8 + 0 + 612 + 4 + 8 + 12 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61780612481267) and next prime (61780612481293).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 870150742 + ... + 870221738.

It is an arithmetic number, because the mean of its divisors is an integer number (193154602872).

Almost surely, 2^{61780612481280} is an apocalyptic number.

61780612481280 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 61780612481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139071314067840).

61780612481280 is an abundant number, since it is smaller than the sum of its proper divisors (216362015654400).

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

61780612481280 is a wasteful number, since it uses less digits than its factorization.

61780612481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71157 (or 71134 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 61780612481280 in words is "sixty-one trillion, seven hundred eighty billion, six hundred twelve million, four hundred eighty-one thousand, two hundred eighty".