74182379040 has 1152 divisors, whose sum is σ = 332862566400. Its totient is φ = 15153868800.

The previous prime is 74182379027. The next prime is 74182379057. The reversal of 74182379040 is 4097328147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212556786 + ... + 212557134.

It is an arithmetic number, because the mean of its divisors is an integer number (288943200).

Almost surely, 2^74182379040 is an apocalyptic number.

74182379040 is a gapful number since it is divisible by the number (70) 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 74182379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431283200).

74182379040 is an abundant number, since it is smaller than the sum of its proper divisors (258680187360).

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

74182379040 is a wasteful number, since it uses less digits than its factorization.

74182379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 74182379040 in words is "seventy-four billion, one hundred eighty-two million, three hundred seventy-nine thousand, forty".