7485635942400 has 2304 divisors, whose sum is σ = 32430324326400. Its totient is φ = 1478098944000.

The previous prime is 7485635942381. The next prime is 7485635942401. The reversal of 7485635942400 is 42495365847.

It is a super-2 number, since 2×7485635942400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7485635942401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20851353421 + ... + 20851353779.

It is an arithmetic number, because the mean of its divisors is an integer number (14075661600).

Almost surely, 2^{7485635942400} is an apocalyptic number.

7485635942400 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 7485635942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215162163200).

7485635942400 is an abundant number, since it is smaller than the sum of its proper divisors (24944688384000).

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

7485635942400 is a wasteful number, since it uses less digits than its factorization.

7485635942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 7485635942400 in words is "seven trillion, four hundred eighty-five billion, six hundred thirty-five million, nine hundred forty-two thousand, four hundred".