77543627940 has 192 divisors, whose sum is σ = 244863440640. Its totient is φ = 20624284800.

The previous prime is 77543627933. The next prime is 77543627947. The reversal of 77543627940 is 4972634577.

77543627940 is a `hidden beast` number, since 7 + 7 + 5 + 4 + 3 + 627 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77543627933) and next prime (77543627947).

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

It is not an unprimeable number, because it can be changed into a prime (77543627947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18412435 + ... + 18416645.

It is an arithmetic number, because the mean of its divisors is an integer number (1275330420).

Almost surely, 2^77543627940 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 77543627940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122431720320).

77543627940 is an abundant number, since it is smaller than the sum of its proper divisors (167319812700).

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

77543627940 is a wasteful number, since it uses less digits than its factorization.

77543627940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 77543627940 in words is "seventy-seven billion, five hundred forty-three million, six hundred twenty-seven thousand, nine hundred forty".