4630078682928 has 320 divisors, whose sum is σ = 14394484408320. Its totient is φ = 1419607461888.

The previous prime is 4630078682909. The next prime is 4630078682953. The reversal of 4630078682928 is 8292868700364.

4630078682928 is a `hidden beast` number, since 463 + 0 + 0 + 7 + 8 + 6 + 82 + 92 + 8 = 666.

It is a super-2 number, since 2×4630078682928² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62453050 + ... + 62527142.

It is an arithmetic number, because the mean of its divisors is an integer number (44982763776).

Almost surely, 2^{4630078682928} is an apocalyptic number.

4630078682928 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 4630078682928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197242204160).

4630078682928 is an abundant number, since it is smaller than the sum of its proper divisors (9764405725392).

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

4630078682928 is a wasteful number, since it uses less digits than its factorization.

4630078682928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74321 (or 74309 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4630078682928 in words is "four trillion, six hundred thirty billion, seventy-eight million, six hundred eighty-two thousand, nine hundred twenty-eight".