76332354644 has 384 divisors, whose sum is σ = 185330073600. Its totient is φ = 27248804352.

The previous prime is 76332354617. The next prime is 76332354649. The reversal of 76332354644 is 44645323367.

It is a hoax number, since the sum of its digits (47) 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 (47).

Its product of digits (4354560) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76332354649) 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, 713386439 + ... + 713386545.

It is an arithmetic number, because the mean of its divisors is an integer number (482630400).

Almost surely, 2^76332354644 is an apocalyptic number.

76332354644 is a gapful number since it is divisible by the number (74) 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 76332354644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92665036800).

76332354644 is an abundant number, since it is smaller than the sum of its proper divisors (108997718956).

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

76332354644 is a wasteful number, since it uses less digits than its factorization.

76332354644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 47.

The spelling of 76332354644 in words is "seventy-six billion, three hundred thirty-two million, three hundred fifty-four thousand, six hundred forty-four".