74921669591040 has 320 divisors, whose sum is σ = 268604008811820. Its totient is φ = 19979108352000.

The previous prime is 74921669590931. The next prime is 74921669591057. The reversal of 74921669591040 is 4019596612947.

74921669591040 is a `hidden beast` number, since 7 + 492 + 1 + 6 + 6 + 95 + 9 + 10 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73914874085376 + 1006795505664 = 8597376^2 + 1003392^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×74921669591040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10448290 + ... + 16093790.

Almost surely, 2^{74921669591040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74921669591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134302004405910).

74921669591040 is an abundant number, since it is smaller than the sum of its proper divisors (193682339220780).

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

74921669591040 is an frugal number, since it uses more digits than its factorization.

74921669591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645548 (or 5645511 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 74921669591040 in words is "seventy-four trillion, nine hundred twenty-one billion, six hundred sixty-nine million, five hundred ninety-one thousand, forty".