61753438080 has 192 divisors, whose sum is σ = 219006403200. Its totient is φ = 16022458368.

The previous prime is 61753438073. The next prime is 61753438099. The reversal of 61753438080 is 8083435716.

61753438080 is a `hidden beast` number, since 6 + 1 + 7 + 534 + 38 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×61753438080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68241 + ... + 357999.

It is an arithmetic number, because the mean of its divisors is an integer number (1140658350).

Almost surely, 2^61753438080 is an apocalyptic number.

61753438080 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 61753438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109503201600).

61753438080 is an abundant number, since it is smaller than the sum of its proper divisors (157252965120).

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

61753438080 is a wasteful number, since it uses less digits than its factorization.

61753438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289821 (or 289806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 61753438080 in words is "sixty-one billion, seven hundred fifty-three million, four hundred thirty-eight thousand, eighty".