61543799040 has 576 divisors, whose sum is σ = 212063201280. Its totient is φ = 15182069760.

The previous prime is 61543799039. The next prime is 61543799059. The reversal of 61543799040 is 4099734516.

It is a super-3 number, since 3×61543799040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391998642 + ... + 391998798.

It is an arithmetic number, because the mean of its divisors is an integer number (368165280).

Almost surely, 2^61543799040 is an apocalyptic number.

61543799040 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 61543799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106031600640).

61543799040 is an abundant number, since it is smaller than the sum of its proper divisors (150519402240).

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

61543799040 is a wasteful number, since it uses less digits than its factorization.

61543799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 61543799040 in words is "sixty-one billion, five hundred forty-three million, seven hundred ninety-nine thousand, forty".