7457049600 has 1056 divisors, whose sum is σ = 33432193536. Its totient is φ = 1415577600.

The previous prime is 7457049599. The next prime is 7457049617. The reversal of 7457049600 is 69407547.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76876752 + ... + 76876848.

Almost surely, 2^7457049600 is an apocalyptic number.

7457049600 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 7457049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716096768).

7457049600 is an abundant number, since it is smaller than the sum of its proper divisors (25975143936).

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

7457049600 is a wasteful number, since it uses less digits than its factorization.

7457049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 7457049600 is about 86354.2100884491. The cubic root of 7457049600 is about 1953.6901065935.

The spelling of 7457049600 in words is "seven billion, four hundred fifty-seven million, forty-nine thousand, six hundred".