61760391840 has 576 divisors, whose sum is σ = 255628638720. Its totient is φ = 13882337280.

The previous prime is 61760391829. The next prime is 61760391851. The reversal of 61760391840 is 4819306716.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61760391829) and next prime (61760391851).

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 95 ways as a sum of consecutive naturals, for example, 12910089 + ... + 12914871.

It is an arithmetic number, because the mean of its divisors is an integer number (443799720).

Almost surely, 2^61760391840 is an apocalyptic number.

61760391840 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 61760391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127814319360).

61760391840 is an abundant number, since it is smaller than the sum of its proper divisors (193868246880).

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

61760391840 is a wasteful number, since it uses less digits than its factorization.

61760391840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61760391840 in words is "sixty-one billion, seven hundred sixty million, three hundred ninety-one thousand, eight hundred forty".