74877138000 has 480 divisors, whose sum is σ = 314621648640. Its totient is φ = 16213478400.

The previous prime is 74877137969. The next prime is 74877138023. The reversal of 74877138000 is 83177847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378362 + ... + 2409638.

It is an arithmetic number, because the mean of its divisors is an integer number (655461768).

Almost surely, 2^74877138000 is an apocalyptic number.

74877138000 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 74877138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157310824320).

74877138000 is an abundant number, since it is smaller than the sum of its proper divisors (239744510640).

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

74877138000 is a wasteful number, since it uses less digits than its factorization.

74877138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31332 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 74877138000 in words is "seventy-four billion, eight hundred seventy-seven million, one hundred thirty-eight thousand".