74192438960640 has 8640 divisors, whose sum is σ = 388332451203840. Its totient is φ = 12894637916160.

The previous prime is 74192438960581. The next prime is 74192438960707. The reversal of 74192438960640 is 4606983429147.

It is a happy number.

74192438960640 is a `hidden beast` number, since 7 + 4 + 19 + 2 + 4 + 3 + 8 + 9 + 606 + 4 + 0 = 666.

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 863 ways as a sum of consecutive naturals, for example, 1399857338854 + ... + 1399857338906.

It is an arithmetic number, because the mean of its divisors is an integer number (44945885556).

Almost surely, 2^{74192438960640} is an apocalyptic number.

74192438960640 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 74192438960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194166225601920).

74192438960640 is an abundant number, since it is smaller than the sum of its proper divisors (314140012243200).

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

74192438960640 is a wasteful number, since it uses less digits than its factorization.

74192438960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 74192438960640 in words is "seventy-four trillion, one hundred ninety-two billion, four hundred thirty-eight million, nine hundred sixty thousand, six hundred forty".