77468483040 has 192 divisors, whose sum is σ = 263170990656. Its totient is φ = 19042025472.

The previous prime is 77468483033. The next prime is 77468483041. The reversal of 77468483040 is 4038486477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468483041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4565452 + ... + 4582388.

It is an arithmetic number, because the mean of its divisors is an integer number (1370682243).

Almost surely, 2^77468483040 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 77468483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131585495328).

77468483040 is an abundant number, since it is smaller than the sum of its proper divisors (185702507616).

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

77468483040 is a wasteful number, since it uses less digits than its factorization.

77468483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701 (or 17693 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 77468483040 in words is "seventy-seven billion, four hundred sixty-eight million, four hundred eighty-three thousand, forty".