74028653352 has 96 divisors (see below), whose sum is σ = 208067932800. Its totient is φ = 24658660224.

The previous prime is 74028653273. The next prime is 74028653359. The reversal of 74028653352 is 25335682047.

74028653352 is a `hidden beast` number, since 7 + 40 + 28 + 6 + 533 + 52 = 666.

It is a super-2 number, since 2×74028653352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74028653298 and 74028653307.

It is not an unprimeable number, because it can be changed into a prime (74028653359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877924 + ... + 2903532.

It is an arithmetic number, because the mean of its divisors is an integer number (2167374300).

Almost surely, 2^74028653352 is an apocalyptic number.

74028653352 is a gapful number since it is divisible by the number (72) 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 74028653352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104033966400).

74028653352 is an abundant number, since it is smaller than the sum of its proper divisors (134039279448).

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

74028653352 is a wasteful number, since it uses less digits than its factorization.

74028653352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27117 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 74028653352 in words is "seventy-four billion, twenty-eight million, six hundred fifty-three thousand, three hundred fifty-two".