61254456480 has 288 divisors, whose sum is σ = 241580102400. Its totient is φ = 13843501056.

The previous prime is 61254456463. The next prime is 61254456481. The reversal of 61254456480 is 8465445216.

It is a happy number.

61254456480 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 4 + 4 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61254456481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862981 + ... + 931259.

It is an arithmetic number, because the mean of its divisors is an integer number (838819800).

Almost surely, 2^61254456480 is an apocalyptic number.

61254456480 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 61254456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120790051200).

61254456480 is an abundant number, since it is smaller than the sum of its proper divisors (180325645920).

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

61254456480 is a wasteful number, since it uses less digits than its factorization.

61254456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68396 (or 68385 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 61254456480 in words is "sixty-one billion, two hundred fifty-four million, four hundred fifty-six thousand, four hundred eighty".