61764078458880 has 3456 divisors, whose sum is σ = 274818488817600. Its totient is φ = 13115015036928.

The previous prime is 61764078458867. The next prime is 61764078458893. The reversal of 61764078458880 is 8885487046716.

61764078458880 is a `hidden beast` number, since 6 + 17 + 6 + 407 + 84 + 58 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (61764078458867) and next prime (61764078458893).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61764078458799 and 61764078458808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 357017794474 + ... + 357017794646.

Almost surely, 2^{61764078458880} is an apocalyptic number.

61764078458880 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 61764078458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137409244408800).

61764078458880 is an abundant number, since it is smaller than the sum of its proper divisors (213054410358720).

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

61764078458880 is a wasteful number, since it uses less digits than its factorization.

61764078458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 61764078458880 in words is "sixty-one trillion, seven hundred sixty-four billion, seventy-eight million, four hundred fifty-eight thousand, eight hundred eighty".