4937965670400 has 468 divisors, whose sum is σ = 18991775399472. Its totient is φ = 1128674426880.

The previous prime is 4937965670333. The next prime is 4937965670419. The reversal of 4937965670400 is 40765697394.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14888779 + ... + 15216821.

Almost surely, 2^{4937965670400} is an apocalyptic number.

4937965670400 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 4937965670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495887699736).

4937965670400 is an abundant number, since it is smaller than the sum of its proper divisors (14053809729072).

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

4937965670400 is a wasteful number, since it uses less digits than its factorization.

4937965670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328094 (or 328060 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 4937965670400 in words is "four trillion, nine hundred thirty-seven billion, nine hundred sixty-five million, six hundred seventy thousand, four hundred".