612878237400 has 576 divisors, whose sum is σ = 2255203157760. Its totient is φ = 136768896000.

The previous prime is 612878237371. The next prime is 612878237429. The reversal of 612878237400 is 4732878216.

It is an interprime number because it is at equal distance from previous prime (612878237371) and next prime (612878237429).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 612878237400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 474730755 + ... + 474732045.

It is an arithmetic number, because the mean of its divisors is an integer number (3915283260).

Almost surely, 2^612878237400 is an apocalyptic number.

612878237400 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 612878237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127601578880).

612878237400 is an abundant number, since it is smaller than the sum of its proper divisors (1642324920360).

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

612878237400 is a wasteful number, since it uses less digits than its factorization.

612878237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 612878237400 in words is "six hundred twelve billion, eight hundred seventy-eight million, two hundred thirty-seven thousand, four hundred".