76214419008 has 224 divisors, whose sum is σ = 250648500480. Its totient is φ = 19901030400.

The previous prime is 76214418997. The next prime is 76214419019. The reversal of 76214419008 is 80091441267.

It is an interprime number because it is at equal distance from previous prime (76214418997) and next prime (76214419019).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1743078 + ... + 1786266.

It is an arithmetic number, because the mean of its divisors is an integer number (1118966520).

Almost surely, 2^76214419008 is an apocalyptic number.

76214419008 is a gapful number since it is divisible by the number (78) 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 76214419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125324250240).

76214419008 is an abundant number, since it is smaller than the sum of its proper divisors (174434081472).

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

76214419008 is a wasteful number, since it uses less digits than its factorization.

76214419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43325 (or 43315 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 76214419008 in words is "seventy-six billion, two hundred fourteen million, four hundred nineteen thousand, eight".