7376486400 has 720 divisors, whose sum is σ = 29254377600. Its totient is φ = 1816657920.

The previous prime is 7376486357. The next prime is 7376486437. The reversal of 7376486400 is 46846737.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254361586 + ... + 254361614.

It is an arithmetic number, because the mean of its divisors is an integer number (40631080).

Almost surely, 2^7376486400 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 7376486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627188800).

7376486400 is an abundant number, since it is smaller than the sum of its proper divisors (21877891200).

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

7376486400 is a wasteful number, since it uses less digits than its factorization.

7376486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7376486400 is about 85886.4739059650. The cubic root of 7376486400 is about 1946.6289686409.

The spelling of 7376486400 in words is "seven billion, three hundred seventy-six million, four hundred eighty-six thousand, four hundred".