7651206400 has 54 divisors (see below), whose sum is σ = 18937947182. Its totient is φ = 3060480000.

The previous prime is 7651206377. The next prime is 7651206401. The reversal of 7651206400 is 46021567.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1477018624 + 6174187776 = 38432^2 + 78576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7651206401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 591351 + ... + 604150.

Almost surely, 2^7651206400 is an apocalyptic number.

It is an amenable number.

7651206400 is an abundant number, since it is smaller than the sum of its proper divisors (11286740782).

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

7651206400 is a wasteful number, since it uses less digits than its factorization.

7651206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195527 (or 1195508 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 7651206400 is about 87471.1746805769. The cubic root of 7651206400 is about 1970.5009076078.

Adding to 7651206400 its reverse (46021567), we get a palindrome (7697227967).

The spelling of 7651206400 in words is "seven billion, six hundred fifty-one million, two hundred six thousand, four hundred".