76949233401600 has 972 divisors, whose sum is σ = 321687385752096. Its totient is φ = 17497140756480.

The previous prime is 76949233401577. The next prime is 76949233401631. The reversal of 76949233401600 is 610433294967.

It is a happy number.

76949233401600 is a `hidden beast` number, since 7 + 6 + 9 + 4 + 9 + 23 + 3 + 4 + 0 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 544652569 + ... + 544793831.

It is an arithmetic number, because the mean of its divisors is an integer number (330954100568).

Almost surely, 2^{76949233401600} is an apocalyptic number.

76949233401600 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 76949233401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160843692876048).

76949233401600 is an abundant number, since it is smaller than the sum of its proper divisors (244738152350496).

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

76949233401600 is a wasteful number, since it uses less digits than its factorization.

76949233401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141502 (or 141473 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 76949233401600 in words is "seventy-six trillion, nine hundred forty-nine billion, two hundred thirty-three million, four hundred one thousand, six hundred".