74642669640 has 1536 divisors, whose sum is σ = 343429632000. Its totient is φ = 14108774400.

The previous prime is 74642669561. The next prime is 74642669657. The reversal of 74642669640 is 4696624647.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 412390350 + ... + 412390530.

It is an arithmetic number, because the mean of its divisors is an integer number (223587000).

Almost surely, 2^74642669640 is an apocalyptic number.

74642669640 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 74642669640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816000).

74642669640 is an abundant number, since it is smaller than the sum of its proper divisors (268786962360).

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

74642669640 is a wasteful number, since it uses less digits than its factorization.

74642669640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 74642669640 in words is "seventy-four billion, six hundred forty-two million, six hundred sixty-nine thousand, six hundred forty".