77664532050 has 576 divisors, whose sum is σ = 266610614400. Its totient is φ = 16525555200.

The previous prime is 77664531887. The next prime is 77664532081. The reversal of 77664532050 is 5023546677.

77664532050 is a `hidden beast` number, since 7 + 7 + 6 + 64 + 532 + 0 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 77664531987 and 77664532005.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76667344 + ... + 76668356.

It is an arithmetic number, because the mean of its divisors is an integer number (462865650).

Almost surely, 2^77664532050 is an apocalyptic number.

77664532050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77664532050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133305307200).

77664532050 is an abundant number, since it is smaller than the sum of its proper divisors (188946082350).

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

77664532050 is a wasteful number, since it uses less digits than its factorization.

77664532050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 77664532050 in words is "seventy-seven billion, six hundred sixty-four million, five hundred thirty-two thousand, fifty".