405672696000 has 2016 divisors, whose sum is σ = 1804593930048. Its totient is φ = 85708800000.

The previous prime is 405672695999. The next prime is 405672696001. The reversal of 405672696000 is 696276504.

405672696000 is a `hidden beast` number, since 4 + 0 + 567 + 26 + 9 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (405672695999) and next prime (405672696001).

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

It is not an unprimeable number, because it can be changed into a prime (405672696001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9894455980 + ... + 9894456020.

It is an arithmetic number, because the mean of its divisors is an integer number (895135878).

Almost surely, 2^405672696000 is an apocalyptic number.

405672696000 is a gapful number since it is divisible by the number (40) 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 405672696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902296965024).

405672696000 is an abundant number, since it is smaller than the sum of its proper divisors (1398921234048).

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

405672696000 is a wasteful number, since it uses less digits than its factorization.

405672696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 405672696000 in words is "four hundred five billion, six hundred seventy-two million, six hundred ninety-six thousand".