74828354040 has 640 divisors, whose sum is σ = 283448056320. Its totient is φ = 17548876800.

The previous prime is 74828354021. The next prime is 74828354119. The reversal of 74828354040 is 4045382847.

It is a happy number.

74828354040 is a `hidden beast` number, since 7 + 48 + 28 + 3 + 540 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240605485 + ... + 240605795.

It is an arithmetic number, because the mean of its divisors is an integer number (442887588).

Almost surely, 2^74828354040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74828354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724028160).

74828354040 is an abundant number, since it is smaller than the sum of its proper divisors (208619702280).

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

74828354040 is a wasteful number, since it uses less digits than its factorization.

74828354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 74828354040 in words is "seventy-four billion, eight hundred twenty-eight million, three hundred fifty-four thousand, forty".