7354877006400 has 672 divisors, whose sum is σ = 30097835615232. Its totient is φ = 1527599308800.

The previous prime is 7354877006387. The next prime is 7354877006401. The reversal of 7354877006400 is 46007784537.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (7354877006401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1536424807 + ... + 1536429593.

It is an arithmetic number, because the mean of its divisors is an integer number (44788445856).

Almost surely, 2^{7354877006400} is an apocalyptic number.

7354877006400 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 7354877006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048917807616).

7354877006400 is an abundant number, since it is smaller than the sum of its proper divisors (22742958608832).

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

7354877006400 is a wasteful number, since it uses less digits than its factorization.

7354877006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 7354877006400 in words is "seven trillion, three hundred fifty-four billion, eight hundred seventy-seven million, six thousand, four hundred".