74640910361472 has 2880 divisors, whose sum is σ = 291980963736000. Its totient is φ = 18848988168192.

The previous prime is 74640910361471. The next prime is 74640910361489. The reversal of 74640910361472 is 27416301904647.

74640910361472 is a `hidden beast` number, since 7 + 4 + 6 + 4 + 0 + 9 + 10 + 3 + 614 + 7 + 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 (74640910361471) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 213870803154 + ... + 213870803502.

It is an arithmetic number, because the mean of its divisors is an integer number (101382279075).

Almost surely, 2^{74640910361472} is an apocalyptic number.

74640910361472 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 74640910361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990481868000).

74640910361472 is an abundant number, since it is smaller than the sum of its proper divisors (217340053374528).

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

74640910361472 is a wasteful number, since it uses less digits than its factorization.

74640910361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 74640910361472 in words is "seventy-four trillion, six hundred forty billion, nine hundred ten million, three hundred sixty-one thousand, four hundred seventy-two".