7204982400 has 1440 divisors, whose sum is σ = 34985126880. Its totient is φ = 1418342400.

The previous prime is 7204982387. The next prime is 7204982437. The reversal of 7204982400 is 42894027.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 379209591 + ... + 379209609.

It is an arithmetic number, because the mean of its divisors is an integer number (24295227).

Almost surely, 2^7204982400 is an apocalyptic number.

7204982400 is a gapful number since it is divisible by the number (70) 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 7204982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492563440).

7204982400 is an abundant number, since it is smaller than the sum of its proper divisors (27780144480).

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

7204982400 is a wasteful number, since it uses less digits than its factorization.

7204982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7204982400 is about 84882.1677385775. The cubic root of 7204982400 is about 1931.4240789450.

It can be divided in two parts, 72049 and 82400, that added together give a square (154449 = 393²).

The spelling of 7204982400 in words is "seven billion, two hundred four million, nine hundred eighty-two thousand, four hundred".