7355997962040 has 1536 divisors, whose sum is σ = 29410349875200. Its totient is φ = 1438414848000.

The previous prime is 7355997961979. The next prime is 7355997962057. The reversal of 7355997962040 is 402697995537.

It is a super-2 number, since 2×7355997962040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10645438095 + ... + 10645438785.

It is an arithmetic number, because the mean of its divisors is an integer number (19147363200).

Almost surely, 2^{7355997962040} is an apocalyptic number.

7355997962040 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 7355997962040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705174937600).

7355997962040 is an abundant number, since it is smaller than the sum of its proper divisors (22054351913160).

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

7355997962040 is a wasteful number, since it uses less digits than its factorization.

7355997962040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 7355997962040 in words is "seven trillion, three hundred fifty-five billion, nine hundred ninety-seven million, nine hundred sixty-two thousand, forty".