74070612000 has 960 divisors, whose sum is σ = 339061282560. Its totient is φ = 15386112000.

The previous prime is 74070611999. The next prime is 74070612067. The reversal of 74070612000 is 21607047.

74070612000 is a `hidden beast` number, since 7 + 40 + 7 + 0 + 612 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24946516 + ... + 24949484.

It is an arithmetic number, because the mean of its divisors is an integer number (353188836).

Almost surely, 2^74070612000 is an apocalyptic number.

74070612000 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 74070612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169530641280).

74070612000 is an abundant number, since it is smaller than the sum of its proper divisors (264990670560).

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

74070612000 is a wasteful number, since it uses less digits than its factorization.

74070612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 74070612000 in words is "seventy-four billion, seventy million, six hundred twelve thousand".