61634796804 has 144 divisors (see below), whose sum is σ = 186102154560. Its totient is φ = 17589156480.

The previous prime is 61634796757. The next prime is 61634796851. The reversal of 61634796804 is 40869743616.

61634796804 is a `hidden beast` number, since 6 + 163 + 479 + 6 + 8 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61634796757) and next prime (61634796851).

It is a super-2 number, since 2×61634796804² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793424 + ... + 4806264.

Almost surely, 2^61634796804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61634796804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93051077280).

61634796804 is an abundant number, since it is smaller than the sum of its proper divisors (124467357756).

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

61634796804 is a wasteful number, since it uses less digits than its factorization.

61634796804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 61634796804 in words is "sixty-one billion, six hundred thirty-four million, seven hundred ninety-six thousand, eight hundred four".