76645338000 has 640 divisors, whose sum is σ = 321517707264. Its totient is φ = 15231744000.

The previous prime is 76645337999. The next prime is 76645338041. The reversal of 76645338000 is 83354667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10622394 + ... + 10629606.

Almost surely, 2^76645338000 is an apocalyptic number.

76645338000 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 76645338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160758853632).

76645338000 is an abundant number, since it is smaller than the sum of its proper divisors (244872369264).

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

76645338000 is a wasteful number, since it uses less digits than its factorization.

76645338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 76645338000 in words is "seventy-six billion, six hundred forty-five million, three hundred thirty-eight thousand".