74784003840 has 1728 divisors, whose sum is σ = 344490854400. Its totient is φ = 15216574464.

The previous prime is 74784003839. The next prime is 74784003863. The reversal of 74784003840 is 4830048747.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×74784003840² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 946632921 + ... + 946632999.

Almost surely, 2^74784003840 is an apocalyptic number.

74784003840 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 74784003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172245427200).

74784003840 is an abundant number, since it is smaller than the sum of its proper divisors (269706850560).

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

74784003840 is a wasteful number, since it uses less digits than its factorization.

74784003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 74784003840 in words is "seventy-four billion, seven hundred eighty-four million, three thousand, eight hundred forty".