74152895400 has 288 divisors, whose sum is σ = 252645939000. Its totient is φ = 19488522240.

The previous prime is 74152895381. The next prime is 74152895423. The reversal of 74152895400 is 459825147.

74152895400 is a `hidden beast` number, since 7 + 4 + 152 + 8 + 95 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1728397476 + 72424497924 = 41574^2 + 269118^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69366066 + ... + 69367134.

Almost surely, 2^74152895400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74152895400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126322969500).

74152895400 is an abundant number, since it is smaller than the sum of its proper divisors (178493043600).

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

74152895400 is a wasteful number, since it uses less digits than its factorization.

74152895400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 74152895400 in words is "seventy-four billion, one hundred fifty-two million, eight hundred ninety-five thousand, four hundred".