7460641520640 has 2816 divisors, whose sum is σ = 35502329548800. Its totient is φ = 1456204677120.

The previous prime is 7460641520599. The next prime is 7460641520663. The reversal of 7460641520640 is 460251460647.

7460641520640 is a `hidden beast` number, since 7 + 4 + 6 + 0 + 64 + 1 + 520 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×7460641520640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14657448706 + ... + 14657449214.

Almost surely, 2^{7460641520640} is an apocalyptic number.

7460641520640 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 7460641520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751164774400).

7460641520640 is an abundant number, since it is smaller than the sum of its proper divisors (28041688028160).

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

7460641520640 is a wasteful number, since it uses less digits than its factorization.

7460641520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7460641520640 in words is "seven trillion, four hundred sixty billion, six hundred forty-one million, five hundred twenty thousand, six hundred forty".