153363974400 has 1080 divisors, whose sum is σ = 698130358464. Its totient is φ = 32348160000.

The previous prime is 153363974383. The next prime is 153363974441. The reversal of 153363974400 is 4479363351.

153363974400 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 639 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 47172775 + ... + 47176025.

Almost surely, 2^153363974400 is an apocalyptic number.

153363974400 is a gapful number since it is divisible by the number (10) 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 153363974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349065179232).

153363974400 is an abundant number, since it is smaller than the sum of its proper divisors (544766384064).

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

153363974400 is a wasteful number, since it uses less digits than its factorization.

153363974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 153363974400 in words is "one hundred fifty-three billion, three hundred sixty-three million, nine hundred seventy-four thousand, four hundred".