6150640400 has 60 divisors (see below), whose sum is σ = 14829771444. Its totient is φ = 2451456000.

The previous prime is 6150640393. The next prime is 6150640429. The reversal of 6150640400 is 40460516.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24760576 + 6125879824 = 4976^2 + 78268^2 .

It is a super-2 number, since 2×6150640400² = 75660754660224320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6150640400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85040 + ... + 139760.

Almost surely, 2^6150640400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6150640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414885722).

6150640400 is an abundant number, since it is smaller than the sum of its proper divisors (8679131044).

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

6150640400 is a wasteful number, since it uses less digits than its factorization.

6150640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55020 (or 55009 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6150640400 is about 78426.0186417747. The cubic root of 6150640400 is about 1832.2023908281.

The spelling of 6150640400 in words is "six billion, one hundred fifty million, six hundred forty thousand, four hundred".