76126613667840 has 1520 divisors, whose sum is σ = 283153936621248. Its totient is φ = 19556714151936.

The previous prime is 76126613667799. The next prime is 76126613667857. The reversal of 76126613667840 is 4876631662167.

76126613667840 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 6 + 613 + 6 + 6 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×76126613667840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467034439599 + ... + 467034439761.

Almost surely, 2^{76126613667840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76126613667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141576968310624).

76126613667840 is an abundant number, since it is smaller than the sum of its proper divisors (207027322953408).

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

76126613667840 is an frugal number, since it uses more digits than its factorization.

76126613667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 76126613667840 in words is "seventy-six trillion, one hundred twenty-six billion, six hundred thirteen million, six hundred sixty-seven thousand, eight hundred forty".