61453351680 has 576 divisors, whose sum is σ = 239132694528. Its totient is φ = 13129482240.

The previous prime is 61453351679. The next prime is 61453351691. The reversal of 61453351680 is 8615335416.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82709389 + ... + 82710131.

It is an arithmetic number, because the mean of its divisors is an integer number (415160928).

Almost surely, 2^61453351680 is an apocalyptic number.

61453351680 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 61453351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119566347264).

61453351680 is an abundant number, since it is smaller than the sum of its proper divisors (177679342848).

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

61453351680 is a wasteful number, since it uses less digits than its factorization.

61453351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 61453351680 in words is "sixty-one billion, four hundred fifty-three million, three hundred fifty-one thousand, six hundred eighty".