77133219660 has 432 divisors, whose sum is σ = 287417894400. Its totient is φ = 16648789248.

The previous prime is 77133219659. The next prime is 77133219661. The reversal of 77133219660 is 6691233177.

77133219660 is a `hidden beast` number, since 7 + 71 + 332 + 196 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (77133219659) and next prime (77133219661).

It is a super-4 number, since 4×77133219660⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77133219661) 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, 74237421 + ... + 74238459.

It is an arithmetic number, because the mean of its divisors is an integer number (665319200).

Almost surely, 2^77133219660 is an apocalyptic number.

77133219660 is a gapful number since it is divisible by the number (70) 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 77133219660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143708947200).

77133219660 is an abundant number, since it is smaller than the sum of its proper divisors (210284674740).

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

77133219660 is a wasteful number, since it uses less digits than its factorization.

77133219660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 77133219660 in words is "seventy-seven billion, one hundred thirty-three million, two hundred nineteen thousand, six hundred sixty".