4736928978432 has 600 divisors, whose sum is σ = 16522142890176. Its totient is φ = 1347210289152.

The previous prime is 4736928978413. The next prime is 4736928978451. The reversal of 4736928978432 is 2348798296374.

4736928978432 is a `hidden beast` number, since 4 + 7 + 36 + 92 + 8 + 9 + 78 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (4736928978413) and next prime (4736928978451).

It is a super-2 number, since 2×4736928978432² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453159318 + ... + 453169770.

Almost surely, 2^{4736928978432} is an apocalyptic number.

4736928978432 is a gapful number since it is divisible by the number (42) 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 4736928978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261071445088).

4736928978432 is an abundant number, since it is smaller than the sum of its proper divisors (11785213911744).

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

4736928978432 is a wasteful number, since it uses less digits than its factorization.

4736928978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10688 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 4736928978432 in words is "four trillion, seven hundred thirty-six billion, nine hundred twenty-eight million, nine hundred seventy-eight thousand, four hundred thirty-two".