77007291109632 has 432 divisors, whose sum is σ = 240190685280000. Its totient is φ = 23587641262080.

The previous prime is 77007291109579. The next prime is 77007291109681. The reversal of 77007291109632 is 23690119270077.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12167367844 + ... + 12167374172.

Almost surely, 2^{77007291109632} is an apocalyptic number.

77007291109632 is a gapful number since it is divisible by the number (72) 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 77007291109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120095342640000).

77007291109632 is an abundant number, since it is smaller than the sum of its proper divisors (163183394170368).

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

77007291109632 is a wasteful number, since it uses less digits than its factorization.

77007291109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8134 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 77007291109632 in words is "seventy-seven trillion, seven billion, two hundred ninety-one million, one hundred nine thousand, six hundred thirty-two".