76690138551840 has 768 divisors, whose sum is σ = 306054083543040. Its totient is φ = 17753770045440.

The previous prime is 76690138551827. The next prime is 76690138551841. The reversal of 76690138551840 is 4815583109667.

76690138551840 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 0 + 1 + 38 + 551 + 8 + 40 = 666.

It is a super-2 number, since 2×76690138551840² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76690138551841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 663368922 + ... + 663484518.

It is an arithmetic number, because the mean of its divisors is an integer number (398507921280).

Almost surely, 2^{76690138551840} 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 76690138551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153027041771520).

76690138551840 is an abundant number, since it is smaller than the sum of its proper divisors (229363944991200).

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

76690138551840 is a wasteful number, since it uses less digits than its factorization.

76690138551840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116262 (or 116248 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 76690138551840 in words is "seventy-six trillion, six hundred ninety billion, one hundred thirty-eight million, five hundred fifty-one thousand, eight hundred forty".