625136400000 has 768 divisors, whose sum is σ = 2635893792000. Its totient is φ = 142871040000.

The previous prime is 625136399999. The next prime is 625136400001. The reversal of 625136400000 is 4631526.

625136400000 is a `hidden beast` number, since 6 + 2 + 5 + 13 + 640 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (625136399999) and next prime (625136400001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (625136400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75595866 + ... + 75604134.

It is an arithmetic number, because the mean of its divisors is an integer number (3432153375).

Almost surely, 2^625136400000 is an apocalyptic number.

625136400000 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 625136400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317946896000).

625136400000 is an abundant number, since it is smaller than the sum of its proper divisors (2010757392000).

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

625136400000 is an frugal number, since it uses more digits than its factorization.

625136400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 625136400000 in words is "six hundred twenty-five billion, one hundred thirty-six million, four hundred thousand".