74497432907520 has 720 divisors, whose sum is σ = 312076735363008. Its totient is φ = 16612661329920.

The previous prime is 74497432907489. The next prime is 74497432907539. The reversal of 74497432907520 is 2570923479447.

74497432907520 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 74 + 32 + 9 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28504362 + ... + 31007958.

Almost surely, 2^{74497432907520} is an apocalyptic number.

74497432907520 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 74497432907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038367681504).

74497432907520 is an abundant number, since it is smaller than the sum of its proper divisors (237579302455488).

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

74497432907520 is a wasteful number, since it uses less digits than its factorization.

74497432907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503678 (or 2503655 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 74497432907520 in words is "seventy-four trillion, four hundred ninety-seven billion, four hundred thirty-two million, nine hundred seven thousand, five hundred twenty".