761685413328 has 960 divisors, whose sum is σ = 2708466647040. Its totient is φ = 204093388800.

The previous prime is 761685413273. The next prime is 761685413383. The reversal of 761685413328 is 823314586167.

761685413328 is a `hidden beast` number, since 7 + 6 + 1 + 68 + 541 + 3 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (761685413273) and next prime (761685413383).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2896142125 + ... + 2896142387.

It is an arithmetic number, because the mean of its divisors is an integer number (2821319424).

Almost surely, 2^761685413328 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 761685413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354233323520).

761685413328 is an abundant number, since it is smaller than the sum of its proper divisors (1946781233712).

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

761685413328 is a wasteful number, since it uses less digits than its factorization.

761685413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 761685413328 in words is "seven hundred sixty-one billion, six hundred eighty-five million, four hundred thirteen thousand, three hundred twenty-eight".