74724279840 has 768 divisors, whose sum is σ = 312754176000. Its totient is φ = 16303472640.

The previous prime is 74724279823. The next prime is 74724279887. The reversal of 74724279840 is 4897242747.

74724279840 is a `hidden beast` number, since 7 + 472 + 42 + 7 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74057256 + ... + 74058264.

It is an arithmetic number, because the mean of its divisors is an integer number (407232000).

Almost surely, 2^74724279840 is an apocalyptic number.

74724279840 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 74724279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156377088000).

74724279840 is an abundant number, since it is smaller than the sum of its proper divisors (238029896160).

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

74724279840 is a wasteful number, since it uses less digits than its factorization.

74724279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 74724279840 in words is "seventy-four billion, seven hundred twenty-four million, two hundred seventy-nine thousand, eight hundred forty".