4582690979328 has 720 divisors, whose sum is σ = 16743120121728. Its totient is φ = 1181091225600.

The previous prime is 4582690979297. The next prime is 4582690979359. The reversal of 4582690979328 is 8239790962854.

4582690979328 is a `hidden beast` number, since 4 + 582 + 6 + 9 + 0 + 9 + 7 + 9 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4582690979297) and next prime (4582690979359).

It is a super-2 number, since 2×4582690979328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 511285375 + ... + 511294337.

Almost surely, 2^{4582690979328} is an apocalyptic number.

4582690979328 is a gapful number since it is divisible by the number (48) 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 4582690979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371560060864).

4582690979328 is an abundant number, since it is smaller than the sum of its proper divisors (12160429142400).

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

4582690979328 is a wasteful number, since it uses less digits than its factorization.

4582690979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 4582690979328 in words is "four trillion, five hundred eighty-two billion, six hundred ninety million, nine hundred seventy-nine thousand, three hundred twenty-eight".