74048037960960 has 2880 divisors, whose sum is σ = 338973172876800. Its totient is φ = 15077451497472.

The previous prime is 74048037960959. The next prime is 74048037961019. The reversal of 74048037960960 is 6906973084047.

74048037960960 is a `hidden beast` number, since 7 + 4 + 0 + 480 + 3 + 7 + 9 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×74048037960960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 67747518174 + ... + 67747519266.

It is an arithmetic number, because the mean of its divisors is an integer number (117699018360).

Almost surely, 2^{74048037960960} is an apocalyptic number.

74048037960960 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 74048037960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169486586438400).

74048037960960 is an abundant number, since it is smaller than the sum of its proper divisors (264925134915840).

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

74048037960960 is a wasteful number, since it uses less digits than its factorization.

74048037960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 74048037960960 in words is "seventy-four trillion, forty-eight billion, thirty-seven million, nine hundred sixty thousand, nine hundred sixty".