7456612900 has 216 divisors, whose sum is σ = 18633585152. Its totient is φ = 2585088000.

The previous prime is 7456612873. The next prime is 7456612901. The reversal of 7456612900 is 92166547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7456612901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38635204 + ... + 38635396.

Almost surely, 2^7456612900 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 7456612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316792576).

7456612900 is an abundant number, since it is smaller than the sum of its proper divisors (11176972252).

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

7456612900 is a wasteful number, since it uses less digits than its factorization.

7456612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 7456612900 is about 86351.6815122902. The cubic root of 7456612900 is about 1953.6519684928.

The spelling of 7456612900 in words is "seven billion, four hundred fifty-six million, six hundred twelve thousand, nine hundred".