74000962290240 has 1120 divisors, whose sum is σ = 280407318808320. Its totient is φ = 18472141062144.

The previous prime is 74000962290169. The next prime is 74000962290251. The reversal of 74000962290240 is 4209226900047.

It is a happy number.

It is a super-2 number, since 2×74000962290240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19644532837 + ... + 19644536603.

Almost surely, 2^{74000962290240} 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 74000962290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140203659404160).

74000962290240 is an abundant number, since it is smaller than the sum of its proper divisors (206406356518080).

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

74000962290240 is a wasteful number, since it uses less digits than its factorization.

74000962290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 74000962290240 in words is "seventy-four trillion, nine hundred sixty-two million, two hundred ninety thousand, two hundred forty".