76274366208 has 288 divisors, whose sum is σ = 220292835840. Its totient is φ = 23341301760.

The previous prime is 76274366173. The next prime is 76274366227. The reversal of 76274366208 is 80266347267.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 99186048 + ... + 99186816.

It is an arithmetic number, because the mean of its divisors is an integer number (764905680).

Almost surely, 2^76274366208 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 76274366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110146417920).

76274366208 is an abundant number, since it is smaller than the sum of its proper divisors (144018469632).

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

76274366208 is a wasteful number, since it uses less digits than its factorization.

76274366208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 76274366208 in words is "seventy-six billion, two hundred seventy-four million, three hundred sixty-six thousand, two hundred eight".