77495539968 has 1296 divisors, whose sum is σ = 307431989760. Its totient is φ = 19160064000.

The previous prime is 77495539963. The next prime is 77495539973. The reversal of 77495539968 is 86993559477.

77495539968 is a `hidden beast` number, since 7 + 7 + 4 + 9 + 553 + 9 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (77495539963) and next prime (77495539973).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77495539896 and 77495539905.

It is not an unprimeable number, because it can be changed into a prime (77495539963) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1270418658 + ... + 1270418718.

Almost surely, 2^77495539968 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 77495539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153715994880).

77495539968 is an abundant number, since it is smaller than the sum of its proper divisors (229936449792).

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

77495539968 is a wasteful number, since it uses less digits than its factorization.

77495539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 77495539968 in words is "seventy-seven billion, four hundred ninety-five million, five hundred thirty-nine thousand, nine hundred sixty-eight".