4595978956800 has 1248 divisors, whose sum is σ = 19034665703424. Its totient is φ = 950501376000.

The previous prime is 4595978956781. The next prime is 4595978956801. The reversal of 4595978956800 is 86598795954.

It is a super-2 number, since 2×4595978956800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4595978956801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7829606107 + ... + 7829606693.

Almost surely, 2^{4595978956800} is an apocalyptic number.

4595978956800 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 4595978956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517332851712).

4595978956800 is an abundant number, since it is smaller than the sum of its proper divisors (14438686746624).

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

4595978956800 is a wasteful number, since it uses less digits than its factorization.

4595978956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 75.

It can be divided in two parts, 4595978 and 956800, that added together give a triangular number (5552778 = T₃₃₃₂).

The spelling of 4595978956800 in words is "four trillion, five hundred ninety-five billion, nine hundred seventy-eight million, nine hundred fifty-six thousand, eight hundred".