76326659640 has 1152 divisors, whose sum is σ = 330162094080. Its totient is φ = 15519651840.

The previous prime is 76326659621. The next prime is 76326659657. The reversal of 76326659640 is 4695662367.

76326659640 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 6 + 6 + 596 + 40 = 666.

It is a super-3 number, since 3×76326659640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 600997257 + ... + 600997383.

It is an arithmetic number, because the mean of its divisors is an integer number (286599040).

Almost surely, 2^76326659640 is an apocalyptic number.

76326659640 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 76326659640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165081047040).

76326659640 is an abundant number, since it is smaller than the sum of its proper divisors (253835434440).

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

76326659640 is a wasteful number, since it uses less digits than its factorization.

76326659640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 76326659640 in words is "seventy-six billion, three hundred twenty-six million, six hundred fifty-nine thousand, six hundred forty".