4537896264000 has 896 divisors, whose sum is σ = 18470997043200. Its totient is φ = 1081416960000.

The previous prime is 4537896263969. The next prime is 4537896264017. The reversal of 4537896264000 is 4626987354.

4537896264000 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 8 + 9 + 626 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140167815 + ... + 140200185.

Almost surely, 2^{4537896264000} is an apocalyptic number.

4537896264000 is a gapful number since it is divisible by the number (40) 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 4537896264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235498521600).

4537896264000 is an abundant number, since it is smaller than the sum of its proper divisors (13933100779200).

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

4537896264000 is a wasteful number, since it uses less digits than its factorization.

4537896264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32477 (or 32451 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4537896264000 in words is "four trillion, five hundred thirty-seven billion, eight hundred ninety-six million, two hundred sixty-four thousand".