74006970250752 has 4800 divisors, whose sum is σ = 311877705216000. Its totient is φ = 17382010060800.

The previous prime is 74006970250691. The next prime is 74006970250753. The reversal of 74006970250752 is 25705207960047.

It is a happy number.

74006970250752 is a `hidden beast` number, since 7 + 4 + 0 + 0 + 69 + 70 + 2 + 507 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74006970250753) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 1013794112988 + ... + 1013794113060.

It is an arithmetic number, because the mean of its divisors is an integer number (64974521920).

Almost surely, 2^{74006970250752} is an apocalyptic number.

74006970250752 is a gapful number since it is divisible by the number (72) 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 74006970250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155938852608000).

74006970250752 is an abundant number, since it is smaller than the sum of its proper divisors (237870734965248).

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

74006970250752 is a wasteful number, since it uses less digits than its factorization.

74006970250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 74006970250752 in words is "seventy-four trillion, six billion, nine hundred seventy million, two hundred fifty thousand, seven hundred fifty-two".