74509670672640 has 720 divisors, whose sum is σ = 310445406044928. Its totient is φ = 16709437734912.

The previous prime is 74509670672621. The next prime is 74509670672651. The reversal of 74509670672640 is 4627607690547.

It is a happy number.

74509670672640 is a `hidden beast` number, since 7 + 4 + 509 + 6 + 7 + 0 + 67 + 2 + 64 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37496749 + ... + 39433811.

Almost surely, 2^{74509670672640} is an apocalyptic number.

74509670672640 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 74509670672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155222703022464).

74509670672640 is an abundant number, since it is smaller than the sum of its proper divisors (235935735372288).

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

74509670672640 is a wasteful number, since it uses less digits than its factorization.

74509670672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937156 (or 1937133 counting only the distinct ones).

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

The spelling of 74509670672640 in words is "seventy-four trillion, five hundred nine billion, six hundred seventy million, six hundred seventy-two thousand, six hundred forty".