612073958400 has 396 divisors, whose sum is σ = 2198296177272. Its totient is φ = 162714746880.

The previous prime is 612073958393. The next prime is 612073958407. The reversal of 612073958400 is 4859370216.

612073958400 is a `hidden beast` number, since 6 + 1 + 207 + 39 + 5 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (612073958393) and next prime (612073958407).

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 (612073958407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77640859 + ... + 77648741.

It is a 1-persistent number, because it is pandigital, but 2⋅612073958400 = 1224147916800 is not.

Almost surely, 2^612073958400 is an apocalyptic number.

612073958400 is a gapful number since it is divisible by the number (60) 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 612073958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099148088636).

612073958400 is an abundant number, since it is smaller than the sum of its proper divisors (1586222218872).

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

612073958400 is a wasteful number, since it uses less digits than its factorization.

612073958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 612073958400 in words is "six hundred twelve billion, seventy-three million, nine hundred fifty-eight thousand, four hundred".