74276407779840 has 2400 divisors, whose sum is σ = 316330169823360. Its totient is φ = 16310065692672.

The previous prime is 74276407779799. The next prime is 74276407779851. The reversal of 74276407779840 is 4897770467247.

It is a happy number.

74276407779840 is a `hidden beast` number, since 7 + 4 + 2 + 76 + 407 + 7 + 79 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 681434933706 + ... + 681434933814.

Almost surely, 2^{74276407779840} is an apocalyptic number.

74276407779840 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 74276407779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158165084911680).

74276407779840 is an abundant number, since it is smaller than the sum of its proper divisors (242053762043520).

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

74276407779840 is an equidigital number, since it uses as much as digits as its factorization.

74276407779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 74276407779840 in words is "seventy-four trillion, two hundred seventy-six billion, four hundred seven million, seven hundred seventy-nine thousand, eight hundred forty".