74632670000 has 200 divisors, whose sum is σ = 207047048736. Its totient is φ = 25521408000.

The previous prime is 74632669961. The next prime is 74632670009. The reversal of 74632670000 is 7623647.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74632670009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31988834 + ... + 31991166.

Almost surely, 2^74632670000 is an apocalyptic number.

74632670000 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 74632670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103523524368).

74632670000 is an abundant number, since it is smaller than the sum of its proper divisors (132414378736).

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

74632670000 is a wasteful number, since it uses less digits than its factorization.

74632670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 74632670000 in words is "seventy-four billion, six hundred thirty-two million, six hundred seventy thousand".