61733620410 has 384 divisors, whose sum is σ = 194155315200. Its totient is φ = 12282969600.

The previous prime is 61733620393. The next prime is 61733620411. The reversal of 61733620410 is 1402633716.

It is a super-2 number, since 2×61733620410² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (61733620411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85860031 + ... + 85860749.

It is an arithmetic number, because the mean of its divisors is an integer number (505612800).

Almost surely, 2^61733620410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61733620410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97077657600).

61733620410 is an abundant number, since it is smaller than the sum of its proper divisors (132421694790).

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

61733620410 is a wasteful number, since it uses less digits than its factorization.

61733620410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 61733620410 in words is "sixty-one billion, seven hundred thirty-three million, six hundred twenty thousand, four hundred ten".