7457272704000 has 2112 divisors, whose sum is σ = 33106379784192. Its totient is φ = 1576599552000.

The previous prime is 7457272703971. The next prime is 7457272704053. The reversal of 7457272704000 is 4072727547.

7457272704000 is a `hidden beast` number, since 7 + 4 + 572 + 7 + 2 + 70 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×7457272704000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 5749631352 + ... + 5749632648.

It is an arithmetic number, because the mean of its divisors is an integer number (15675369216).

Almost surely, 2^{7457272704000} is an apocalyptic number.

7457272704000 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 7457272704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553189892096).

7457272704000 is an abundant number, since it is smaller than the sum of its proper divisors (25649107080192).

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

7457272704000 is a wasteful number, since it uses less digits than its factorization.

7457272704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The spelling of 7457272704000 in words is "seven trillion, four hundred fifty-seven billion, two hundred seventy-two million, seven hundred four thousand".